Integrated MSc-PhD Program SYLLABUS |
KSM3E06: Representation theory |
Generalities on linear representations, Subrepresentations, Irreducible representations, Tensor product of two representations, Symmetric square and alternating square, The character of a representation, Schur’s lemma; basic applications, Orthogonality relations for characters, Decomposition of the regular representation, Number of irreducible representations, Canonical decomposition of a representation, Explicit decomposition of a representation, Subgroups, products, induced representations, Abelian subgroups, Product of two groups, Induced representations. Suggested texts:
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