Course Contents
Complex representations of finite groups, irreducibility, complete
reducibility, Maschke's theorem, Schur's lemma, tensor product, symmetric
product, wedge product, character theory, group algebra, representations
of the symmetric group, arbitrary ground field, division algebras,
splitting fields, restriction and induction, modular representations.
Literature
W. Fulton: Representation theory,
J.-P. Serre: Linear Representations of Finite Groups.
Complex representations of finite groups, irreducibility, complete
reducibility, Maschke's theorem, Schur's lemma, tensor product, symmetric
product, wedge product, character theory, group algebra, representations
of the symmetric group, arbitrary ground field, division algebras,
splitting fields, restriction and induction, modular representations.
Literature
W. Fulton: Representation theory,
J.-P. Serre: Linear Representations of Finite Groups.
- Lehrende: Anonym
- Lehrende: Yingkun Li
Semester: ST 2023