250070 VO Selected topics in algebraic (2011S)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: German

Lecturers

Joachim Mahnkopf

Classes (iCal) - next class is marked with N

Wednesday 16.03. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
Monday 21.03. 14:00 - 17:00 Seminarraum
Monday 28.03. 14:00 - 17:00 Seminarraum
Monday 04.04. 14:00 - 17:00 Seminarraum
Monday 11.04. 14:00 - 17:00 Seminarraum
Monday 02.05. 14:00 - 17:00 Seminarraum
Monday 09.05. 14:00 - 17:00 Seminarraum
Monday 16.05. 14:00 - 17:00 Seminarraum
Monday 23.05. 14:00 - 17:00 Seminarraum
Monday 30.05. 14:00 - 17:00 Seminarraum
Monday 06.06. 14:00 - 17:00 Seminarraum
Monday 20.06. 14:00 - 17:00 Seminarraum
Monday 27.06. 14:00 - 17:00 Seminarraum

Information

Aims, contents and method of the course

The first part of the course continues the representation theory of finite groups in the characteristic 0 case. We want to extend the theory as well as give examples in which we deternmine the representations of a given finite group. A central concept will be the notion of an induced representation. Using it we will construct representations as well as examnine their properties. In the second part of the lecture we want to give an introduction to the representation theory in the case of positive characteristic.

The course is a continuation of the course "Darstellungstheorie endlicher Gruppen" (summer term 2010) and a basic knowledge of representation theory will be assumed.

Assessment and permitted materials

Oral examination

Minimum requirements and assessment criteria

Knowledge of methods for the construction of representations and the examination of their properties

Examination topics

Lecture course

Reading list

Serre: Linear representations of finite groups
Curtis/Reiner: Representation theory of finite groups and associative algebras
Isaacs: Character theory of finite groups
Lam: Noncommutative Algebra

Association in the course directory

MALV

Last modified: Tu 02.07.2024 00:17