Professor Anton Deitmar
Lehre im Sommersemester 2018



Vorlesung: Lie-Gruppen
Lecture on Lie groups

with Dr Polyxeni Spilioti

Vorlesung/Lecture
  • Mo, Do 12 - 14 Uhr
Übungsgruppe / Problem class

A Lie group is a group G which at the same time is a smooth manifold such that the group law G x G -> G is a smooth map. Lie groups occur naturally as transformation groups of geometric objects. Typical examples are matrix groups like SL(n,R) or SO(n). In the lecture we introduce the general theory of Lie groups with a special focus on compact groups and their representation theory culminating in the complete description of representations through Highest Weight Theory.

Vorausgesetzte Kenntnisse / Necessary previous knowledge:

Analysis and Linear Algebra.

Literatur:  Bröcker, Tom Dieck: Representations of compact Lie Groups. Springer-Verlag.
Bump, D.: Lie Groups. Springer-Verlag.
Warner, F.: Foundations of Differentiable Manifolds and Lie Groups. Springer-Verlag.

Prüfungsvoraussetzung  /Examination requirements: Active participation in the problem class.

Prüfung / Examination: Oral examination.


Skript



Aufgabenblätter




Vorlesung: SL2(R)

Vorlesung
  • Fr 12-14 Uhr





Oberseminar Analysis und Zahlentheorie

Dienstags 14-16, C9A03