chap11.txt

  
  11 Symmetric Algebra and Koszul Complex
  
  
  11.1 Symmetric Algebra: Constructor
  
  11.1-1 SymmetricPower
  
  SymmetricPower( k, M )  operation
  Returns:  a homalg module
  
  Construct the k-th exterior power of module M.
  
  
  11.2 Symmetric Algebra: Properties and Attributes
  
  11.2-1 IsSymmetricPower
  
  IsSymmetricPower( M )  property
  Returns:  true or false
  
  Marks a module as an symmetric power of another module.
  
  11.2-2 SymmetricPowerExponent
  
  SymmetricPowerExponent( M )  attribute
  Returns:  an integer
  
  The exponent of the symmetric power.
  
  11.2-3 SymmetricPowerBaseModule
  
  SymmetricPowerBaseModule( M )  attribute
  Returns:  a homalg module
  
  The module that M is an symmetric power of.