Group Representations

Projective Representations I. Second Cohomology Groups. Twisted Group Algebras. Introduction to Projective Representations. Covering Groups. Degrees of Irreducible Representations. Counting Irreducible Representations. Reduction to Smaller Groups. The Schur Multiplier. Operator Groups and Bilinear Forms. Free Groups, Homology and Resolutions. Generalities. Schur's Formula and Applications. Symmetric and Alternating Groups. Schur Multipliers of p-Groups. Cohomological G-Functors. Wreath Products. Linear Groups. Some Simple Groups. Schur Multipliers and Orthogonal Modules. Finite Coxeter Groups. Bibliography. Notation. Index.