Representation Theory

Introduction Group actions Basic definitions Complete reducibility and Maschke's theorem Schur's lemma Character theory Proof of orthogonality Permutation representations Normal subgroups and lifting Dual spaces and tensor products of representations Dual spaces Tensor products Powers of characters Characters of G x H Symmetric and exterior powers Tensor algebra Character ring Induction and restriction Frobenius groups Mackey theory Integrality in the group algebra Burnside's theorem Representations of compact groups Representations of SU(2) Representations of SO(3), SU(2) and U(2) Index