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symmetricAlgebra -- the symmetric algebra of a module

symmetricAlgebra M -- produces the symmetric algebra of a module M.

Bugs: uses symbols from the beginning of the alphabet as variables in the new ring; makes a quotient ring when it doesn't have to.

Ways to use symmetricAlgebra :

  • symmetricAlgebra Module
  • Optional arguments :

  • symmetricAlgebra(..., Adjust) -- adjust the multi-degree
  • symmetricAlgebra(..., Degrees) -- specify the degrees
  • symmetricAlgebra(..., Inverses) -- specify whether generators are invertible
  • symmetricAlgebra(..., MonomialOrder) -- monomial ordering
  • symmetricAlgebra(..., MonomialSize) -- specify maximum exponent size
  • symmetricAlgebra(..., NewMonomialOrder => ...)
  • symmetricAlgebra(..., Repair) -- repair the multi-degree
  • symmetricAlgebra(..., SkewCommutative) -- make a skewcommutative (alternating) ring
  • symmetricAlgebra(..., VariableBaseName) -- base name for variables
  • symmetricAlgebra(..., VariableOrder)
  • symmetricAlgebra(..., Variables) -- specify the variable names
  • symmetricAlgebra(..., Weights) -- specify monomial ordering by weights
  • symmetricAlgebra(..., WeylAlgebra) -- make a Weyl algebra

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