Universität Wien

250063 VO Representation theory of finite groups (2010S)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 01.03. 11:00 - 13:00 Seminarraum
  • Monday 08.03. 11:00 - 13:00 Seminarraum
  • Monday 15.03. 11:00 - 13:00 Seminarraum
  • Monday 22.03. 11:00 - 13:00 Seminarraum
  • Monday 12.04. 11:00 - 13:00 Seminarraum
  • Monday 19.04. 11:00 - 13:00 Seminarraum
  • Monday 26.04. 11:00 - 13:00 Seminarraum
  • Monday 03.05. 11:00 - 13:00 Seminarraum
  • Monday 10.05. 11:00 - 13:00 Seminarraum
  • Monday 17.05. 11:00 - 13:00 Seminarraum
  • Monday 31.05. 11:00 - 13:00 Seminarraum
  • Monday 07.06. 11:00 - 13:00 Seminarraum
  • Monday 14.06. 11:00 - 13:00 Seminarraum
  • Monday 21.06. 11:00 - 13:00 Seminarraum
  • Monday 28.06. 11:00 - 13:00 Seminarraum

Information

Aims, contents and method of the course

The course is intended to introduce to the representation theory of finite groups. The representation theory of finite groups is a special case of the representation theory of finite dimensional algebras and this point of view is important both, for the foundation of the representation theory of finite groups as well as for aplications. We therefore begin with an introduction to the representation theory of finite dimensional algebras and we shall derive
the basics of the representation of finite groups from the representation
theory of algebras. Alternatively, we can start by directly introducing
the character of a representation. In doing so we shall restrict to algebraically closed fields of characteristik 0, which has the advantage that in order to attend the lecture, knowledge of the very basics of algebra is sufficient. The goal of the lecture is to develop methods that allow to study the representations of such groups as GL(2,F), where F is a finite field or the symmetric groups.

Assessment and permitted materials

mündliche Prüfung zum Ende der Vorlesung

Minimum requirements and assessment criteria

To become familiar with basic principles of representation theory

Examination topics

lecture course

Reading list

James, G., Liebeck, M.: Representations and characters of
finite groups Serre, J.-P.: Representations of finite groups
Jacobson, N.: Basic Algebra II
Curtis, Reiner: Representation theory of associative algebras and finite
groups

Association in the course directory

MALV

Last modified: Mo 07.09.2020 15:40