Book a Demo!
CoCalc Logo Icon
StoreFeaturesDocsShareSupportNewsAboutPoliciesSign UpSign In
sagemath
GitHub Repository: sagemath/sagemath.github.io
Path: blob/master/files/Sage-Combinat.bib
2457 views
1
@misc{AasGrinbergScrimshaw2018,
2
author = {Aas, Erik and Grinberg, Darij and Scrimshaw, Travis},
3
date = {2018},
4
howpublished = {arXiv:1810.08157},
5
note = {https://arxiv.org/abs/1810.08157},
6
title = {Multiline queues with spectral parameters},
7
}
8
9
@article{AguiarEtAl2012,
10
author = {Aguiar, Marcelo and Andr{é}, Carlos and Benedetti, Carolina and Bergeron, Nantel and Chen, Zhi and Diaconis, Persi and Hendrickson, Anders and Hsiao, Samuel and Isaacs, I. Martin and Jedwab, Andrea and Johnson, Kenneth and Karaali, Gizem and Lauve, Aaron and Le, Tung and Lewis, Stephen and Li, Huilan and Magaard, Kay and Marberg, Eric and Novelli, Jean-Christophe and Pang, Amy and Saliola, Franco and Tevlin, Lenny and Thibon, Jean-Yves and Thiem, Nathaniel and Venkateswaran, Vidya and Vinroot, C. Ryan and Yan, Ning and Zabrocki, Mike},
11
date = {2012},
12
doi = {10.1016/j.aim.2011.12.024},
13
issn = {0001-8708},
14
journaltitle = {Adv. Math.},
15
number = {4},
16
pages = {2310--2337},
17
title = {Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras},
18
urlraw = {http://dx.doi.org/10.1016/j.aim.2011.12.024},
19
volume = {229},
20
}
21
22
@article{AyyerEtAl2012,
23
author = {Ayyer, Arvind and Klee, Steven and Schilling, Anne},
24
date = {2014},
25
doi = {10.1007/s10801-013-0470-9},
26
howpublished = {arXiv:1205.7074},
27
issn = {0925-9899},
28
journaltitle = {J. Algebraic Combin.},
29
number = {4},
30
pages = {853--881},
31
title = {Combinatorial Markov chains on linear extensions},
32
urlraw = {http://dx.doi.org/10.1007/s10801-013-0470-9},
33
volume = {39},
34
}
35
36
@article{AyyerEtAl2013A,
37
author = {Ayyer, Arvind and Klee, Steven and Schilling, Anne},
38
date = {2013},
39
howpublished = {arXiv:1307.7499},
40
journaltitle = {Fields Communications Series, Springer},
41
note = {http://arxiv.org/abs/1307.7499},
42
title = {Markov chains for promotion operators},
43
}
44
45
@article{AyyerEtAl2013B,
46
author = {Ayyer, Arvind and Schilling, Anne and Steinberg, Benjamin and Thi{é}ry, Nicolas M.},
47
date = {2015},
48
doi = {10.1007/s00220-015-2343-7},
49
howpublished = {arXiv:1305.1697},
50
issn = {0010-3616},
51
journaltitle = {Comm. Math. Phys.},
52
number = {3},
53
pages = {1065--1098},
54
title = {Directed Nonabelian Sandpile Models on Trees},
55
urlraw = {http://dx.doi.org/10.1007/s00220-015-2343-7},
56
volume = {335},
57
}
58
59
@article{AyyerEtAl2014,
60
author = {Ayyer, Arvind and Schilling, Anne and Steinberg, Benjamin and Thi{é}ry, Nicolas M.},
61
date = {2015},
62
doi = {10.1142/S0218196715400081},
63
howpublished = {arXiv:1401.4250},
64
issn = {0218-1967},
65
journaltitle = {Internat. J. Algebra Comput.},
66
number = {1-2},
67
pages = {169--231},
68
title = {Markov chains, {$\scr{R}$}-trivial monoids and representation theory},
69
urlraw = {http://dx.doi.org/10.1142/S0218196715400081},
70
volume = {25},
71
}
72
73
@inproceedings{BandlowEtAl2011a,
74
author = {Bandlow, Jason and Schilling, Anne and Zabrocki, Mike},
75
booktitle = {Proceedings of the 23rd International Conference on Formal Power Series and Algebraic Combinatorics},
76
date = {2011},
77
note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAO0110},
78
pages = {99--110},
79
series = {Discrete Mathematics \& Theoretical Computer Science},
80
title = {The Murnaghan-Nakayama rule for $k$-Schur functions},
81
volume = {AO},
82
}
83
84
@article{BandlowEtAl2011b,
85
author = {Bandlow, Jason and Schilling, Anne and Zabrocki, Mike},
86
date = {2011},
87
journaltitle = {Journal of Combinatorial Theory, Series A},
88
note = {http://arxiv.org/abs/1004.4886},
89
number = {5},
90
pages = {1588--1607},
91
title = {The Murnaghan-Nakayama rule for $k$-Schur functions},
92
volume = {118},
93
}
94
95
@article{BergEtAl2012a,
96
author = {Berg, Chris and Bergeron, Nantel and Pon, Steven and Zabrocki, Mike},
97
date = {2012},
98
journaltitle = {Electronic Journal of Combinatorics},
99
note = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v19i2p55},
100
number = {2},
101
pages = {P55},
102
title = {Expansions of $k$-Schur Functions in the Affine nilCoxeter Algebra},
103
volume = {19},
104
}
105
106
@article{BergEtAl2012b,
107
author = {Berg, Chris and Bergeron, Nantel and Saliola, Franco and Serrano, Luis and Zabrocki, Mike},
108
date = {2014},
109
doi = {10.4153/CJM-2013-013-0},
110
issn = {0008-414X},
111
journaltitle = {Canad. J. Math.},
112
note = {http://arxiv.org/abs/1208.5191},
113
number = {3},
114
pages = {525--565},
115
title = {A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions},
116
urlraw = {http://dx.doi.org/10.4153/CJM-2013-013-0},
117
volume = {66},
118
}
119
120
@article{BergEtAl2012c,
121
author = {Berg, Chris and Bergeron, Nantel and Thomas, Hugh and Zabrocki, Mike},
122
date = {2012},
123
doi = {10.4310/JOC.2012.v3.n3.a9},
124
howpublished = {arXiv:1107.3610},
125
issn = {2156-3527},
126
journaltitle = {J. Comb.},
127
note = {http://arxiv.org/abs/1107.3610},
128
number = {3},
129
pages = {563--589},
130
title = {Expansion of $k$-Schur functions for maximal rectangles within the affine nilCoxeter algebra},
131
urlraw = {http://dx.doi.org/10.4310/JOC.2012.v3.n3.a9},
132
volume = {3},
133
}
134
135
@article{BergEtAl2013a,
136
author = {Berg, Chris and Bergeron, Nantel and Saliola, Franco and Serrano, Luis and Zabrocki, Mike},
137
date = {2015},
138
doi = {10.1090/S0002-9939-2014-12298-2},
139
issn = {0002-9939},
140
journaltitle = {Proc. Amer. Math. Soc.},
141
note = {http://arxiv.org/abs/1304.1224},
142
number = {3},
143
pages = {991--1000},
144
title = {Indecomposable modules for the dual immaculate basis of quasi-symmetric functions},
145
urlraw = {http://dx.doi.org/10.1090/S0002-9939-2014-12298-2},
146
volume = {143},
147
}
148
149
@misc{BergEtAl2013b,
150
author = {Berg, Chris and Bergeron, Nantel and Saliola, Franco and Serrano, Luis and Zabrocki, Mike},
151
date = {2013},
152
howpublished = {arXiv:1305.4700},
153
note = {http://arxiv.org/abs/1305.4700},
154
title = {Multiplicative structures of the immaculate basis of non-commutative symmetric functions},
155
}
156
157
@misc{BergEtAl2014,
158
author = {Berg, Chris and Pons, Viviane and Scrimshaw, Travis and Striker, Jessica and Stump, Christian},
159
date = {2014},
160
howpublished = {arXiv:1401.3690},
161
note = {http://arxiv.org/abs/1401.3690},
162
title = {FindStat - the combinatorial statistics database},
163
}
164
165
@misc{Borger2013,
166
author = {Borger, James M.},
167
date = {2013},
168
howpublished = {arXiv:1310.3013},
169
note = {http://arxiv.org/abs/1310.3013},
170
title = {Witt vectors, semirings, and total positivity},
171
}
172
173
@thesis{Borie2011,
174
author = {Borie, Nicolas},
175
institution = {Laboratoire de mathématiques d'Orsay},
176
location = {University of Paris-Sud 11, Orsay, France},
177
date = {2011},
178
note = {http://www.sagemath.org/files/thesis/borie-thesis-2011.pdf},
179
title = {Calculate invariants of permutation groups by Fourier Transform},
180
type = {phdthesis},
181
}
182
183
@misc{BorieThiery2011,
184
author = {Borie, Nicolas and Thiéry, Nicolas M.},
185
date = {2011},
186
howpublished = {arXiv:1110.3849},
187
note = {http://arxiv.org/abs/1110.3849},
188
title = {An evaluation approach to computing invariants rings of permutation groups},
189
}
190
191
@article{BumpNakasuji2011,
192
author = {Bump, Daniel and Nakasuji, Maki},
193
date = {2011},
194
journaltitle = {Canadian Journal of Mathematics},
195
note = {http://arxiv.org/abs/1002.2996},
196
pages = {1238--1253},
197
title = {Casselman's Basis of Iwahori Vectors and the Bruhat Order},
198
volume = {63},
199
}
200
201
@book{BumpSchilling2017,
202
author = {Bump, Daniel and Schilling, Anne},
203
publisher = {World Scientific},
204
date = {2017},
205
isbn = {978-981-4733-43-4},
206
title = {Crystal Bases: Representations and Combinatorics},
207
}
208
209
@book{CasamayouEtAl2013,
210
author = {Casamayou, Alexandre and Cohen, Nathann and Connan, Guillaume and Dumont, Thierry and Fousse, Laurent and Maltey, François and Meulien, Matthias and Mezzarobba, Marc and Pernet, Clément and Thiéry, Nicolas M. and Zimmermann, Paul},
211
publisher = {CreateSpace},
212
date = {2013},
213
note = {http://sagebook.gforge.inria.fr},
214
title = {Calcul Mathématique avec Sage},
215
}
216
217
@misc{ChapotonEtAl2013,
218
author = {Chapoton, Frédéric and Hivert, Florent and Novelli, Jean-Christophe},
219
date = {2013},
220
howpublished = {arXiv:1307.0092},
221
note = {http://arxiv.org/abs/1307.0092},
222
title = {A set-operad of formal fractions and dendriform-like sub-operads},
223
}
224
225
@article{DavidThiery2011,
226
author = {David, Marie-Claude and Thiéry, Nicolas M.},
227
date = {2011},
228
journaltitle = {Journal of Algebra and Its Applications},
229
note = {http://arxiv.org/abs/0812.3044},
230
number = {5},
231
pages = {995--1106},
232
title = {Exploration of finite dimensional Kac algebras and lattices of intermediate subfactors of irreducible inclusions},
233
volume = {10},
234
}
235
236
@inproceedings{Denton2010,
237
author = {Denton, Tom},
238
booktitle = {Proceedings of the 22nd International Conference on Formal Power Series and Algebraic Combinatorics},
239
date = {2010},
240
note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/viewArticle/dmAN0150},
241
pages = {701--712},
242
series = {Discrete Mathematics \& Theoretical Computer Science},
243
title = {A combinatorial formula for orthogonal idempotents in the 0-Hecke algebra of $S_N$},
244
volume = {AN},
245
}
246
247
@article{Denton2011A,
248
author = {Denton, Tom},
249
date = {2011},
250
journaltitle = {Electronic Journal of Combinatorics},
251
note = {http://www.emis.de/journals/EJC/Volume_18/Abstracts/v18i1p28.html},
252
number = {1},
253
pages = {P28},
254
title = {A combinatorial formula for orthogonal idempotents in the 0-Hecke algebra of the symmetric group},
255
volume = {18},
256
}
257
258
@thesis{Denton2011B,
259
author = {Denton, Tom},
260
institution = {Department of Mathematics},
261
location = {University of California, Davis, USA},
262
date = {2011},
263
note = {http://www.sagemath.org/files/thesis/denton-thesis-2011.pdf},
264
title = {Excursions into Algebra and Combinatorics at q=0},
265
type = {phdthesis},
266
}
267
268
@article{Denton2012A,
269
author = {Denton, Tom},
270
date = {2012},
271
journaltitle = {Electronic Journal of Combinatorics},
272
note = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v19i4p19},
273
number = {4},
274
pages = {P19},
275
title = {Canonical Decompositions of Affine Permutations, Affine Codes, and Split $k$-Schur Functions},
276
volume = {19},
277
}
278
279
@article{Denton2012B,
280
author = {Denton, Tom},
281
date = {2012},
282
issn = {1286-4889},
283
journaltitle = {Sém. Lothar. Combin.},
284
pages = {Art. B69c,40},
285
title = {Algebraic and affine pattern avoidance},
286
volume = {69},
287
}
288
289
@article{DentonEtAl2011,
290
author = {Denton, Tom and Hivert, Florent and Schilling, Anne and Thiéry, Nicolas M.},
291
date = {2011},
292
journaltitle = {Séminaire Lotharingien de Combinatoire},
293
note = {http://www.emis.de/journals/SLC/wpapers/s64dehiscth.html},
294
pages = {B64d},
295
title = {On the representation theory of $\mathcal{J}$-trivial monoids},
296
volume = {64},
297
}
298
299
@article{Drake2010,
300
author = {Drake, Dan},
301
date = {2010},
302
journaltitle = {Journal of Integer Sequences},
303
note = {http://www.cs.uwaterloo.ca/journals/JIS/VOL13/Drake/drake.html},
304
number = {9},
305
pages = {10.9.2},
306
title = {Bijections from Weighted Dyck Paths to Schröder Paths},
307
volume = {13},
308
}
309
310
@inproceedings{DrakeKim2009,
311
author = {Drake, Dan and Kim, Jang Soo},
312
booktitle = {Proceedings of the 21st International Conference on Formal Power Series and Algebraic Combinatorics},
313
date = {2009},
314
note = {http://arxiv.org/abs/0812.2725},
315
pages = {351--362},
316
series = {Discrete Mathematics \& Theoretical Computer Science},
317
title = {$k$-distant Crossings and Nestings of Matchings and Partitions},
318
volume = {AK},
319
}
320
321
@article{FerayMeliot2012,
322
author = {Féray, Valentin and Méliot, Pierre-Loïc},
323
date = {2012},
324
journaltitle = {Probability Theory and Related Fields},
325
note = {http://arxiv.org/abs/1001.2180},
326
pages = {589--624},
327
title = {Asymptotics of $q$-plancherel measures},
328
volume = {152},
329
}
330
331
@article{FourierEtAl2009,
332
author = {Fourier, Ghislain and Okado, Masato and Schilling, Anne},
333
date = {2009},
334
journaltitle = {Advances in Mathematics},
335
note = {http://arxiv.org/abs/0810.5067},
336
number = {3},
337
pages = {1080--1116},
338
title = {Kirillov-Reshetikhin crystals for nonexceptional types},
339
volume = {222},
340
}
341
342
@article{FourierEtAl2010,
343
author = {Fourier, Ghislain and Okado, Masato and Schilling, Anne},
344
date = {2010},
345
journaltitle = {Contemporary Mathematics},
346
note = {http://arxiv.org/abs/0811.1604},
347
pages = {127--143},
348
title = {Perfectness of Kirillov-Reshetikhin Crystals for Nonexceptional Types},
349
volume = {506},
350
}
351
352
@article{GouldenEtAl2013,
353
author = {Goulden, I. P. and Guay-Paquet, Mathieu and Novak, Jonathan},
354
date = {2013},
355
journaltitle = {Advances in Mathematics},
356
note = {http://arxiv.org/abs/1210.3415},
357
number = {1},
358
pages = {1--23},
359
title = {Polynomiality of monotone Hurwitz numbers in higher genera},
360
volume = {238},
361
}
362
363
@article{APGuayPaquet13,
364
author = {Guay-Paquet, Mathieu and Morales, Alejandro H. and Rowland, Eric},
365
date = {2014},
366
doi = {10.1007/s00026-014-0249-2},
367
howpublished = {arXiv:1303.3652},
368
issn = {0218-0006},
369
journaltitle = {Ann. Comb.},
370
note = {http://arxiv.org/abs/1303.3652},
371
number = {4},
372
pages = {645--674},
373
title = {Structure and enumeration of {$(3+1)$}-free posets},
374
urlraw = {http://dx.doi.org/10.1007/s00026-014-0249-2},
375
volume = {18},
376
}
377
378
@article{GunawanScrimshaw2017,
379
author = {Gunawan, Emily and Scrimshaw, Travis},
380
date = {2017},
381
journaltitle = {Sém. Lothar. Combin.},
382
pages = {Art. 47,12},
383
title = {Realization of Kirillov-Reshetikhin crystals {$B^{1,s}$} for {$\widehat{\mathfrak{sl}}_n$} using Nakajima monomials},
384
volume = {78B},
385
}
386
387
@inproceedings{HivertEtAl2010,
388
author = {Hivert, Florent and Schilling, Anne and Thi{é}ry, Nicolas M.},
389
booktitle = {Proceedings of the 22nd International Conference on Formal Power Series and Algebraic Combinatorics},
390
date = {2010},
391
note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAN0116},
392
pages = {307--318},
393
series = {Discrete Mathematics \& Theoretical Computer Science},
394
title = {The biHecke Monoid of A Finite Coxeter Group},
395
volume = {AN},
396
}
397
398
@article{HivertEtAl2013,
399
author = {Hivert, Florent and Schilling, Anne and Thi{é}ry, Nicolas M.},
400
date = {2013},
401
journaltitle = {Algebra \& Number Theory},
402
note = {http://arxiv.org/abs/1012.1361},
403
number = {3},
404
pages = {595--671},
405
title = {The biHecke monoid of a finite Coxeter group and its representations},
406
volume = {7},
407
}
408
409
@article{JonesSchilling2010,
410
author = {Jones, Brant and Schilling, Anne},
411
date = {2010},
412
journaltitle = {Journal of Algebra},
413
note = {http://arxiv.org/abs/0909.2442},
414
number = {9},
415
pages = {2512--2542},
416
title = {Affine Structures and a Tableau Model for $E_6$ Crystals},
417
volume = {324},
418
}
419
420
@incollection{KangLeeRyuSalisbury2016,
421
author = {Kang, Seok-Jin and Lee, Kyu-Hwan and Ryu, Hansol and Salisbury, Ben},
422
publisher = {Amer. Math. Soc., Providence, RI},
423
booktitle = {Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics},
424
date = {2016},
425
pages = {145--165},
426
series = {Proc. Sympos. Pure Math.},
427
title = {A combinatorial description of the affine Gindikin-Karpelevich formula of type $A_n^{(1)}$},
428
volume = {92},
429
}
430
431
@article{LamEtAl2010,
432
author = {Lam, Thomas and Schilling, Anne and Shimozono, Mark},
433
date = {2010},
434
journaltitle = {Compositio Mathematica},
435
note = {http://arxiv.org/abs/0901.1506},
436
number = {4},
437
pages = {811--852},
438
title = {$K$-theory Schubert Calculus of the Affine Grassmannian},
439
volume = {146},
440
}
441
442
@book{LamEtAl2013,
443
author = {Lam, Thomas and Lapointe, Luc and Morse, Jennifer and Schilling, Anne and Shimozono, Mark and Zabrocki, Mike},
444
publisher = {Springer, New York; Fields Institute for Research in Mathematical Sciences, Toronto, ON},
445
date = {2014},
446
isbn = {978-1-4939-0681-9; 978-1-4939-0682-6},
447
note = {http://arxiv.org/abs/1301.3569},
448
pages = {viii+219},
449
series = {Fields Institute Monographs},
450
title = {{$k$}-Schur functions and affine Schubert calculus},
451
volume = {33},
452
}
453
454
@article{LeeSalisbury2012a,
455
author = {Lee, Kyu-Hwan and Salisbury, Ben},
456
date = {2012},
457
doi = {10.1016/j.jcta.2012.01.011},
458
issn = {0097-3165},
459
journaltitle = {J. Combin. Theory Ser. A},
460
number = {5},
461
pages = {1081--1094},
462
title = {A combinatorial description of the Gindikin-Karpelevich formula in type {$A$}},
463
urlraw = {http://dx.doi.org/10.1016/j.jcta.2012.01.011},
464
volume = {119},
465
}
466
467
@article{LeeSalisbury2014a,
468
author = {Lee, Kyu-Hwan and Salisbury, Ben},
469
date = {2014},
470
doi = {10.4134/JKMS.2014.51.2.289},
471
issn = {0304-9914},
472
journaltitle = {J. Korean Math. Soc.},
473
number = {2},
474
pages = {289--309},
475
title = {Young tableaux, canonical bases, and the Gindikin-Karpelevich formula},
476
urlraw = {http://dx.doi.org/10.4134/JKMS.2014.51.2.289},
477
volume = {51},
478
}
479
480
@article{LeeSalisbury2014b,
481
author = {Lee, Kyu-Hwan and Lombardo, Philip and Salisbury, Ben},
482
date = {2014},
483
doi = {10.1090/S0002-9939-2014-11961-7},
484
issn = {0002-9939},
485
journaltitle = {Proc. Amer. Math. Soc.},
486
number = {7},
487
pages = {2291--2301},
488
title = {Combinatorics of Casselman-Shalika formula in type {$A$}},
489
urlraw = {http://dx.doi.org/10.1090/S0002-9939-2014-11961-7},
490
volume = {142},
491
}
492
493
@article{LenartEtAl2013,
494
author = {Lenart, Cristian and Naito, Satoshi and Sagaki, Daisuke and Schilling, Anne and Shimozono, Mark},
495
date = {2013},
496
howpublished = {arXiv:1211.6019},
497
journaltitle = {DMCTS proc},
498
note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/issue/view/130},
499
pages = {25--36},
500
title = {A uniform model for Kirillov-Reshetikhin crystals. Extended abstract},
501
volume = {AS},
502
}
503
504
@article{LenartEtAl2014A,
505
author = {Lenart, Cristian and Naito, Satoshi and Sagaki, Daisuke and Schilling, Anne and Shimozono, Mark},
506
date = {2015},
507
doi = {10.1093/imrn/rnt263},
508
howpublished = {arXiv:1211.2042},
509
issn = {1073-7928},
510
journaltitle = {Int. Math. Res. Not. IMRN},
511
number = {7},
512
pages = {1848--1901},
513
title = {A uniform model for Kirillov-Reshetikhin crystals I: Lifting the parabolic quantum Bruhat graph},
514
urlraw = {http://dx.doi.org/10.1093/imrn/rnt263},
515
}
516
517
@misc{LenartEtAl2014B,
518
author = {Lenart, Cristian and Naito, Satoshi and Sagaki, Daisuke and Schilling, Anne and Shimozono, Mark},
519
date = {2014},
520
howpublished = {arXiv:1402.2203},
521
note = {http://arxiv.org/abs/1402.2202},
522
title = {A uniform model for Kirillov-Reshetikhin crystals {II}. Alcove model, path model, and $P=X$},
523
}
524
525
@article{LenartSchilling2013,
526
author = {Lenart, Cristian and Schilling, Anne},
527
date = {2013},
528
journaltitle = {Mathematische Zeitschrift},
529
note = {http://arxiv.org/abs/1107.4169},
530
number = {1-2},
531
pages = {401--426},
532
title = {Crystal energy functions via the charge in types A and C},
533
volume = {273},
534
}
535
536
@article{MasseEtAl2011,
537
author = {Massé, A. Blondin and Brleka, S. and Garona, A. and Labbé, S.},
538
date = {2011},
539
journaltitle = {Theoretical Computer Science},
540
note = {http://dx.doi.org/10.1016/j.tcs.2010.07.005},
541
number = {27},
542
pages = {2922--2930},
543
title = {Equations on palindromes and circular words},
544
volume = {412},
545
}
546
547
@misc{Mathas2013,
548
author = {Mathas, Andrew},
549
date = {2013},
550
howpublished = {arXiv:1310.2142},
551
note = {http://arxiv.org/abs/1310.2142},
552
title = {Cyclotomic quiver Hecke algebras of type A},
553
}
554
555
@inproceedings{MorseSchilling2012,
556
author = {Morse, Jennifer and Schilling, Anne},
557
booktitle = {Proceedings of the 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)},
558
date = {2012},
559
note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/viewArticle/dmAR0165},
560
pages = {735--744},
561
series = {Discrete Mathematics \& Theoretical Computer Science},
562
title = {A combinatorial formula for fusion coefficients},
563
volume = {AR},
564
}
565
566
@article{MusikerStump2011,
567
author = {Musiker, Gregg and Stump, Christian},
568
date = {2011},
569
journaltitle = {S{é}minaire Lotharingien de Combinatoire},
570
note = {http://www.emis.de/journals/SLC/wpapers/s65mustump.html},
571
pages = {B65d},
572
title = {A Compendium on the Cluster Algebra and Quiver Package in Sage},
573
volume = {65},
574
}
575
576
@article{NakanishiStella2012,
577
author = {Nakanishi, Tomoki and Stella, Salvatore},
578
date = {2014},
579
howpublished = {arXiv:1210.6299},
580
issn = {1077-8926},
581
journaltitle = {Electron. J. Combin.},
582
note = {http://arxiv.org/abs/1210.6299},
583
number = {1},
584
pages = {Paper 1.3,107},
585
title = {Diagrammatic description of {$c$}-vectors and {$d$}-vectors of cluster algebras of finite type},
586
volume = {21},
587
}
588
589
@article{NovelliEtAl2010,
590
author = {Novelli, Jean-Christophe and Saliola, Franco and Thibon, Jean-Yves},
591
date = {2010},
592
journaltitle = {Journal of Algebraic Combinatorics},
593
note = {http://arxiv.org/abs/0906.5236},
594
number = {4},
595
pages = {465--495},
596
title = {Representation theory of the higher-order peak algebras},
597
volume = {32},
598
}
599
600
@article{OkadoEtAl2013,
601
author = {Okado, Masato and Sakamoto, Reiho and Schilling, Anne},
602
date = {2013},
603
journaltitle = {Journal of Algebraic Combinatorics},
604
note = {http://arxiv.org/abs/1109.3523},
605
number = {3},
606
pages = {571--599},
607
title = {Affine crystal structure on rigged configurations of type D_n^(1)},
608
volume = {37},
609
}
610
611
@misc{OrrShimozono2012,
612
author = {Orr, Dan and Shimozono, Mark},
613
date = {2013},
614
howpublished = {arXiv:1310.0279},
615
note = {http://arxiv.org/abs/1310.0279},
616
title = {Specializations of nonsymmetric Macdonald-Koornwinder polynomials},
617
}
618
619
@article{PanScrimshaw2015,
620
author = {Pan, Jianping and Scrimshaw, Travis},
621
date = {2017},
622
doi = {10.1007/s00031-017-9456-3},
623
journaltitle = {Transform. Groups},
624
note = {http://arxiv.org/abs/1509.08103},
625
title = {Virtualization map for the Littelmann path model},
626
}
627
628
@thesis{Pons2013,
629
author = {Pons, Viviane},
630
institution = {Marne-la-Valle},
631
location = {Marne-la-Valle, France},
632
date = {2013},
633
title = {Combinatoire alg{è}brique li{è}e aux ordres sur les permutations},
634
type = {phdthesis},
635
}
636
637
@misc{PonsChatel2013,
638
author = {Viviane Pons, Gr{é}gory Chatel},
639
date = {2013},
640
howpublished = {arXiv:1311.3922},
641
note = {http://arxiv.org/abs/1311.3922},
642
title = {Counting smaller elements in the Tamari and $m$-Tamari lattices},
643
}
644
645
@article{PonWang2011,
646
author = {Pon, Steven and Wang, Qiang},
647
date = {2011},
648
journaltitle = {Electronic Journal of Combinatorics},
649
note = {http://www.emis.de/journals/EJC/Volume_18/Abstracts/v18i1p18.html},
650
number = {1},
651
pages = {P18},
652
title = {Promotion and evacuation on standard Young tableaux of rectangle and staircase shape},
653
volume = {18},
654
}
655
656
@article{Pon2012,
657
author = {Pon, Steven},
658
date = {2012},
659
journaltitle = {Journal of Algebraic Combinatorics},
660
note = {http://arxiv.org/abs/1111.3312},
661
number = {4},
662
pages = {595--622},
663
title = {Affine Stanley symmetric functions for classical types},
664
volume = {36},
665
}
666
667
@article{Pons2011b,
668
author = {Pons, Viviane},
669
date = {2011},
670
journaltitle = {S{é}minaire Lotharingien de Combinatoire},
671
note = {http://www.emis.de/journals/SLC/wpapers/s66pons.html},
672
number = {7},
673
pages = {B66z},
674
title = {Multivariate Polynomials in Sage},
675
volume = {66},
676
}
677
678
@article{Rubey2012,
679
author = {Rubey, Martin},
680
date = {2012},
681
doi = {10.1016/j.aam.2011.05.005},
682
issn = {0196-8858},
683
journaltitle = {Adv. in Appl. Math.},
684
number = {2},
685
pages = {290--305},
686
title = {Maximal {$0$}-{$1$}-fillings of moon polyominoes with restricted chain lengths and rc-graphs},
687
urlraw = {http://dx.doi.org/10.1016/j.aam.2011.05.005},
688
volume = {48},
689
}
690
691
@article{SalisburyScrimshaw2015,
692
author = {Salisbury, Ben and Scrimshaw, Travis},
693
date = {2015},
694
howpublished = {arxiv:1404.6539},
695
journaltitle = {J. Combin. Theory Ser. A},
696
note = {http://arxiv.org/abs/1404.6539},
697
pages = {29--57},
698
title = {A rigged configuration model for {$B(\infty)$}},
699
volume = {133},
700
}
701
702
@article{SalisburyScrimshaw2016,
703
author = {Salisbury, Ben and Scrimshaw, Travis},
704
date = {2016},
705
doi = {10.1007/s10468-015-9587-y},
706
howpublished = {arxiv:1505.07040},
707
journaltitle = {Algebr. Represent. Theory},
708
note = {http://arxiv.org/abs/1505.07040},
709
number = {3},
710
pages = {523--546},
711
title = {Connecting marginally large tableaux and rigged configurations},
712
volume = {19},
713
}
714
715
@article{SalisburyScrimshaw2017a,
716
author = {Salisbury, Ben and Scrimshaw, Travis},
717
date = {2017},
718
journaltitle = {Electron. J. Combin.},
719
note = {https://arxiv.org/abs/1509.07833},
720
number = {1},
721
pages = {Paper 1.30,13},
722
title = {Rigged configurations for all symmetrizable types},
723
volume = {24},
724
}
725
726
@article{SalisburyScrimshaw2017b,
727
author = {Salisbury, Ben and Scrimshaw, Travis},
728
date = {2017},
729
journaltitle = {Sém. Lothar. Combin.},
730
pages = {Art. 34,12},
731
title = {Using rigged configurations to model {$B(\infty)$}},
732
volume = {78B},
733
}
734
735
@article{SalisburyScrimshaw2018,
736
author = {Salisbury, Ben and Scrimshaw, Travis},
737
date = {2018},
738
howpublished = {arXiv:1601.06137},
739
journaltitle = {Lett. Math. Phys.},
740
note = {to appear, http://arxiv.org/abs/1601.06137},
741
title = {Rigged configurations and the {$*$}-involution},
742
}
743
744
@inproceedings{SchillingTingley2011a,
745
author = {Schilling, Anne and Tingley, Peter},
746
booktitle = {Proceedings of the 23rd International Conference on Formal Power Series and Algebraic Combinatorics},
747
date = {2011},
748
note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAO0175},
749
pages = {861--872},
750
series = {Discrete Mathematics \& Theoretical Computer Science},
751
title = {Demazure crystals and the energy function},
752
volume = {AO},
753
}
754
755
@article{SchillingTingley2012,
756
author = {Schilling, Anne and Tingley, Peter},
757
date = {2012},
758
journaltitle = {The Electronic Journal of Combinatorics},
759
note = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v19i2p4},
760
number = {2},
761
pages = {P4},
762
title = {Demazure Crystals, Kirillov-Reshetikhin Crystals, and the Energy Function},
763
volume = {19},
764
}
765
766
@article{SchillingWang2010,
767
author = {Schilling, Anne and Wang, Qiang},
768
date = {2010},
769
journaltitle = {The Electronic Journal of Combinatorics},
770
note = {http://www.combinatorics.org/Volume_17/Abstracts/v17i1r24.html},
771
number = {1},
772
pages = {R24},
773
title = {Promotion Operator on Rigged Configurations of Type A},
774
volume = {17},
775
}
776
777
@thesis{Scrimshaw2015,
778
author = {Scrimshaw, Travis},
779
institution = {Department of Mathematics},
780
location = {University of California, Davis, USA},
781
date = {2015},
782
note = {http://gradworks.umi.com/37/23/3723720.html},
783
title = {Crystals and rigged configurations},
784
type = {phdthesis},
785
}
786
787
@article{Scrimshaw2016,
788
author = {Scrimshaw, Travis},
789
date = {2016},
790
doi = {10.1016/j.jalgebra.2015.09.047},
791
journaltitle = {J. Algebra},
792
note = {https://arxiv.org/abs/1505.05910},
793
pages = {294--349},
794
title = {A crystal to rigged configuration bijection and the filling map for type {$D_4^{(3)}$}},
795
volume = {448},
796
}
797
798
@article{Scrimshaw2017,
799
author = {Scrimshaw, Travis},
800
date = {2017},
801
doi = {10.1093/integr/xyw015},
802
journaltitle = {J. Integrable Syst.},
803
note = {https://arxiv.org/abs/1607.03232},
804
number = {1},
805
pages = {xyw015,24},
806
title = {Rigged configurations as tropicalizations of loop Schur functions},
807
volume = {2},
808
}
809
810
@misc{Thiery2008,
811
author = {Thiéry, Nicolas M.},
812
date = {2008},
813
howpublished = {Mémoire d'{Ha}bilitation à Diriger des Recherches},
814
note = {http://arxiv.org/abs/0912.2619},
815
title = {Algèbre Combinatoire et Effective; des graphes aux algèbres de Kac \emph{via} l'exploration informatique},
816
}
817
818
@misc{Thiery2009,
819
author = {Thi{é}ry, Nicolas M.},
820
date = {2009},
821
howpublished = {Software demonstration, FPSAC'09, Hagenberg, Austria},
822
note = {http://wiki.sagemath.org/combinat?action=AttachFile&do=get&target=2009-07-20-FPSAC.pdf},
823
title = {Sage-Combinat, Free and Practical Software for Algebraic Combinatorics},
824
}
825
826
@article{GrinbergRoby2014A,
827
author = {Grinberg, Darij and Roby, Tom},
828
date = {2016},
829
journaltitle = {The Electronic Journal of Combinatorics},
830
note = {http://arxiv.org/abs/1402.6178},
831
number = {1},
832
pages = {1.33},
833
title = {Iterative Properties of Birational Rowmotion I: Generalities and Skeletal Posets},
834
urlraw = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i1p33},
835
volume = {23},
836
}
837
838
@article{GrinbergRoby2014B,
839
author = {Grinberg, Darij and Roby, Tom},
840
date = {2015},
841
journaltitle = {The Electronic Journal of Combinatorics},
842
note = {http://arxiv.org/abs/1402.6178},
843
number = {3},
844
pages = {3.40},
845
title = {Iterative Properties of Birational Rowmotion {II}: Rectangles and Triangles},
846
urlraw = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i3p40},
847
volume = {22},
848
}
849
850
@article{Schilling2014,
851
author = {Schilling, Anne},
852
date = {2017},
853
howpublished = {arXiv:1405.2966},
854
journaltitle = {in: The Mathematical Legacy of Richard P. Stanley, AMS 2016},
855
note = {http://arxiv.org/abs/1405.2966},
856
pages = {287--299},
857
title = {Richard Stanley through a crystal lens and from a random angle},
858
}
859
860
@article{MorseSchilling2016,
861
author = {Morse, Jennifer and Schilling, Anne},
862
date = {2016},
863
howpublished = {arXiv:1408.0320},
864
journaltitle = {International Mathematics Research Notices},
865
note = {http://arxiv.org/abs/1408.0320},
866
number = {8},
867
pages = {2239--2294},
868
title = {Crystal approach to affine Schubert calculus},
869
volume = {2016},
870
}
871
872
@article{SchillingScrimshaw2014,
873
author = {Schilling, Anne and Scrimshaw, Travis},
874
date = {2015},
875
howpublished = {arXiv:1409.2920},
876
journaltitle = {Electronic J. Combinatorics},
877
note = {http://arxiv.org/abs/1409.2920},
878
number = {1},
879
pages = {P1.73},
880
title = {Crystal structure on rigged configurations and the filling map},
881
volume = {22},
882
}
883
884
@article{AyyerSchillingThiery2016,
885
author = {Ayyer, Arvind and Schilling, Anne and Thiéry, Nicolas M.},
886
date = {2017},
887
doi = {10.1080/10586458.2015.1107868},
888
howpublished = {arXiv:1412.7488},
889
issn = {1058-6458},
890
journaltitle = {Exp. Math.},
891
number = {1},
892
pages = {22--30},
893
title = {Spectral gap for random-to-random shuffling on linear extensions},
894
urlraw = {http://dx.doi.org/10.1080/10586458.2015.1107868},
895
volume = {26},
896
}
897
898
@article{JohnsonSchillingSlivken2016,
899
author = {Johnson, Tobias and Schilling, Anne and Slivken, Erik},
900
date = {2017},
901
issue = {18},
902
journaltitle = {Electronic Journal of Probability},
903
pages = {1--26},
904
title = {Local limit of the fixed point forest},
905
volume = {22},
906
}
907
908
@book{paulsen2016,
909
author = {Paulsen, William},
910
publisher = {Chapman and Hall/CRC Press},
911
date = {2016},
912
isbn = {9781498719766},
913
title = {Abstract Algebra: An Interactive Approach, 2nd ed.},
914
}
915
916
@article{OkadoSakamotoSchillingScrimshaw2016,
917
author = {Okado, Masato and Sakamoto, Reiho and Schilling, Anne and Scrimshaw, Travis},
918
date = {2017},
919
doi = {10.1007/s10801-017-0756-4},
920
journaltitle = {J. Algebraic Combin.},
921
note = {https://arxiv.org/abs/1603.08121},
922
number = {2},
923
pages = {341--401},
924
title = {Type {$D_n^{(1)}$} rigged configuration bijection},
925
volume = {46},
926
}
927
928
@article{SchillingThieryWhiteWilliams2017,
929
author = {Schilling, Anne and Thiery, Nicolas M. and White, Graham and Williams, Nathan},
930
date = {2017},
931
howpublished = {arXiv:1507.00656},
932
journaltitle = {European J. Combin.},
933
note = {http://arxiv.org/abs/1507.00656},
934
pages = {15--34},
935
title = {Braid moves in commutation classes of the symmetric group},
936
volume = {62},
937
}
938
939
@misc{HongLeeTian2016,
940
author = {Hong, Jin and Lee, Hyeonmi and Tian, Roger},
941
date = {2016},
942
howpublished = {arXiv:1604.04357},
943
note = {http://arxiv.org/abs/1604.04357},
944
title = {Rigged Configuration Descriptions of the Crystals {$B(\infty)$} and {$B(\lambda)$} for Special Linear Lie Algebras},
945
}
946
947
@misc{CohenPasechnik2016,
948
author = {{Cohen}, N. and {Pasechnik}, D. V.},
949
date = {2016-01},
950
howpublished = {arXiv:1601.00181},
951
note = {http://arxiv.org/abs/1601.00181},
952
title = {{Implementing Brouwer's database of strongly regular graphs}},
953
}
954
955
@article{BergWilliamsZabrocki2016,
956
author = {Chris Berg, Nathan Williams, Mike Zabrocki},
957
date = {2016},
958
doi = {10.1007/s00026-016-0307-z},
959
howpublished = {arXiv:1111.2783},
960
issn = {0218-0006},
961
journaltitle = {Ann. Comb.},
962
note = {http://arxiv.org/abs/1111.2783},
963
number = {2},
964
pages = {251--281},
965
title = {Symmetries on the Lattice of $k$-Bounded Partitions},
966
urlraw = {http://link.springer.com/article/10.1007/s00026-016-0307-z},
967
volume = {20},
968
}
969
970
@misc{OrellanaZabrocki2016,
971
author = {Rosa Orellana, Mike Zabrocki},
972
date = {2016},
973
howpublished = {arXiv:1605.06672},
974
note = {http://arxiv.org/abs/1605.06672},
975
title = {Symmetric group characters as symmetric functions},
976
}
977
978
979