character -- compute characters of finite group action

Description

Use this method to compute the Betti characters of a finite group action on a minimal free resolution or the characters of a finite group action on the components of a graded module. See the specific use cases for more details.

All characters are bigraded by homological degree and internal degree (inherited from the complex or module they are computed from). Modules are considered to be concentrated in homological degree zero.

Characters may also be constructed by hand using character(PolynomialRing,ZZ,HashTable).

Ways to use character :

character(ActionOnComplex) -- compute all Betti characters of minimal free resolution
character(ActionOnComplex,ZZ) -- compute Betti characters of minimal free resolution
character(ActionOnGradedModule,List) -- compute characters of graded components of a module
character(ActionOnGradedModule,ZZ) -- see character(ActionOnGradedModule,List) -- compute characters of graded components of a module
character(ActionOnGradedModule,ZZ,ZZ) -- see character(ActionOnGradedModule,List) -- compute characters of graded components of a module
character(CharacterDecomposition,CharacterTable) -- recover character from decomposition
character(PolynomialRing,ZZ,HashTable) -- construct a character

For the programmer

The object character is a method function.

Character -- the class of all characters of finite group representations
character(ActionOnComplex) -- compute all Betti characters of minimal free resolution
character(ActionOnComplex,ZZ) -- compute Betti characters of minimal free resolution
character(ActionOnGradedModule,List) -- compute characters of graded components of a module
character(PolynomialRing,ZZ,HashTable) -- construct a character
character(CharacterDecomposition,CharacterTable) -- recover character from decomposition

character -- compute characters of finite group action

Description

Ways to use character :

For the programmer

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