------Representation Theory
notes
[Invariant subspaces and complete reducibilty - 2024-01-24] [pdf]
[Characters of irreducible representations - 2024-02-05] [pdf]
[Functions on via regular representation - 2024-02-07 pt1] [pdf]
[Representations & the symmetric group - 2024-02-07 pt2] [pdf]
[The number of irreducible representations - 2024-02-12] [pdf]
assignments
due 2024-01-26 [problem set 01] [pdf] [solutions] [solutions pdf]
due 2024-02-02 [problem set 02] [pdf] [solutions] [solutions pdf]
due 2024-02-16 [problem set 03] [pdf] [solutions] [solutions pdf]
Error-Correcting codes
notes
sage-math notebooks
example of ternary code [via
cocalc] [download notebook]Hamming code example [via
cocalc] [download notebook]perfect codes [via
cocalc] [download notebook]array decoding [via
cocalc] [download notebook]syndrome decoding [via
cocalc] [download notebook]dual-codes [via
cocalc] [download notebook]ternary Golay codes [via
cocalc] [download notebook]decoding Reed-Solomon codes [via
cocalc] [download notebook]
assignments
due 2024-03-01 [problem set 04] [pdf] [solutions] [solutions pdf]
due 2024-03-29 [problem set 05] [pdf] [solutions] [solutions pdf]
due 2024-03-29 [final project proposal] [pdf]