BettiCharacters : Index
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Action -- the class of all finite group actions
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action -- define finite group action
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action(...,Sub=>...) -- act on ring via substitutions (rather than matrices)
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action(ChainComplex,List) -- define finite group action on a resolution
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action(ChainComplex,List,List,ZZ) -- define finite group action on a resolution
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action(Ideal,List) -- define finite group action on a graded module
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action(Ideal,List,List) -- define finite group action on a graded module
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action(Module,List) -- define finite group action on a graded module
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action(Module,List,List) -- define finite group action on a graded module
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action(PolynomialRing,List) -- define finite group action on a graded module
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action(PolynomialRing,List,List) -- define finite group action on a graded module
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action(QuotientRing,List) -- define finite group action on a graded module
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action(QuotientRing,List,List) -- define finite group action on a graded module
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ActionOnComplex -- the class of all finite group actions on complexes
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ActionOnGradedModule -- the class of all finite group actions on graded modules
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actors -- group elements of an action
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actors(Action) -- group elements of an action
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actors(ActionOnComplex,ZZ) -- group elements of action on resolution
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actors(ActionOnGradedModule,List) -- group elements acting on components of a module
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actors(ActionOnGradedModule,ZZ) -- group elements acting on components of a module
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BettiCharacters -- finite group characters on free resolutions and graded modules
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Character -- the class of all characters of finite group representations
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character -- compute characters of finite group action
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character(ActionOnComplex) -- compute all Betti characters of minimal free resolution
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character(ActionOnComplex,ZZ) -- compute Betti characters of minimal free resolution
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character(ActionOnGradedModule,List) -- compute characters of graded components of a module
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character(ActionOnGradedModule,ZZ) -- compute characters of graded components of a module
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character(ActionOnGradedModule,ZZ,ZZ) -- compute characters of graded components of a module
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Example 1 -- Specht ideals / subspace arrangements
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Example 2 -- Symbolic powers of star configurations
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Example 3 -- Klein configuration of points
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GradedCharacter -- the class of all graded characters of finite group representations
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inverseRingActors -- get inverse of action on ring generators
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inverseRingActors(...,Sub=>...) -- act on ring via substitutions (rather than matrices)
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inverseRingActors(Action) -- get inverse of action on ring generators
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net(Action) -- format for printing, as a net
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numActors -- number of acting elements
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numActors(Action) -- number of acting elements
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places -- starting homological degree
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ring(Action) -- get ring of object acted upon
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ringActors -- get action on ring generators
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ringActors(...,Sub=>...) -- act on ring via substitutions (rather than matrices)
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ringActors(Action) -- get action on ring generators
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stage -- get object acted upon
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stage(Action) -- get object acted upon
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Sub -- act on ring via substitutions (rather than matrices)