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Last update: T_KA (19.05.2009)
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Last update: T_KA (19.05.2009)
1. Charles W. Curtis, Irving Reiner: Representation theory of finite groups and associative algebras, John Wiley & Sons, New York, 1988. 2. Walter Feit: The representation theory of finite groups, North-Holland mathematical library, Amsterdam, 1982 3. Steven H. Weintraub: Representation Theory of Finite Groups: Algebra and Arithmetic (Graduate Studies in Mathematics, Vol. 59), AMS, Providence 2003. |
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Last update: T_KA (19.05.2009)
1/ Irreducible representations of groups, Shur's Lemma. 2/ Representations as modules over group rings, direct sum and tensor product of representations. 3/ Representations of finite groups, Maschke's Theorem. 4/ Characters, orthogonality relations, Burnside's theorem. 5/ Rank of irreducible representations. 6/ Representations over the field of complex numbers and irreducible characters. 7/ Permutation representations. 8/ Representations induced by subgroups of finite index. 9/ Projective representations; Shur's multiplier. 10/ Applications in probability theory.
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