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Representation Theory

Representation Theory

CharacterTable(G) : GrpPC -> TabChtr
The table of irreducible characters for the group G.
GModule(G, M) : GrpPC, AlgMat -> ModAlg
The G-module for the action of G on the vector space defined by the matrix ring M.
GModule(G, A) : GrpPC, GrpPC -> ModAlg, Map
A KG-module corresponding to the action of the group G on the elementary abelian subgroup A of G. The map from A to the KG-module's underlying vector space is returned as well.
GModule(G, A, B) : GrpPC, GrpPC, GrpPC -> ModAlg, Map
A KG-module corresponding to the action of the group G on the elementary abelian section A/B of G. The map from A to the KG-module's underlying vector space is returned as well.
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