MA61038: Representation Theory Of Groups And Algebras

MA61038
Course name	Representation Theory of Groups and Algebras
Offered by	Mathematics
Credits	4
L-T-P	3-1-0
Previous Year Grade Distribution
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Syllabus

Syllabus mentioned in ERP

Prerequisite: Modern AlgebraModules - Artinian and Noetherian modules, KrullSchmidt theorem, completely reducible modules, tensor products, projective and injective modules. Wedderburn-Artin s theorem. Rings - Primitivity, semi primitivity, radicals, density theorem, Artinian rings, structure theory of algebras, Braure group, Clifford algebras. Groups - Representations and matrix representations of groups, complete reducibility, applications of representation theory of algebras, irreducible representations of symmetric groups, characters, Burnsides theorem. Properties of induction and Frobenius reciprocity theorem. Brauer s theorem on induced characters, splitting fields. The Schur index, Frobenius groups. Applications Group rings.