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Indian Institute of Science Education and Research Berhampur


MTH 410: Representation Theory (4)

Pre-requisites: MTH 301, MTH 302

Representations of groups, subrepresentations, Irreducible representations, tensor product of representations, Maschke's theorem, Wedderburn decomposition

Characters of representations, Generalized characters, Schurs lemma, Orthogonality, Regular representations, Decomposition theorems

Representations of direct product of finite groups, Induced representations, Reciprocity theorem

Representations and characters of standard finite and infinite groups: cyclic groups, dihedral groups, symmetric and alternating groups of small order etc.

Applications of Representation Theory

Suggested Books:

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