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Representation Theory of Finite Groups

(Module 10-M=VGDS)

Winter Semester 2016/17

Class: Tue, Wed 10:15-11:45 in SE 40

Exercises: Mon 16:15-17:45 in SE 40

Representation theory uses methods from linear algebra and number theory to study finite groups. Let G be a group and V be a finite-dimensional vector space. A representation is a group homomorphism G→GL(V). Representations arise naturally in finite groups (often in a geometric context), or can be used as external tools to prove theorems about abstract finite groups. Numerical invariants of the irreducible representations sometimes allow to study complicated and huge groups. Some classical examples, which we cover among other things, are

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Homework sheets

Sheet 1, Sheet 2, Sheet 3, Sheet 4, Sheet 5, Sheet 6, Sheet 7
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