Universität Wien

250072 VO Lie Groups (2025W)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik
MIXED
Moodle

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 02.10. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 06.10. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 13.10. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 16.10. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 20.10. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 27.10. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 30.10. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 03.11. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 10.11. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 13.11. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 17.11. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 24.11. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 27.11. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 01.12. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 11.12. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 15.12. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 08.01. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 12.01. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 19.01. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 22.01. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 26.01. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

This lecture course serves as a first introduction to the theory of Lie groups. The focus will be on the interrelation between Lie groups and their Lie algebras. Among others, the following topics will be treated: topological properties, matrix groups, exponential map, Lie subgroups, homomorphisms, the Frobenius theorem, group actions, classification of Lie groups, representation theory of compact Lie groups. The lecture will be based on this script: https://www.mat.univie.ac.at/~mike/teaching/ws1920/lg.pdf

Assessment and permitted materials

Oral Exam

Minimum requirements and assessment criteria

Working knowledge of course material.

Examination topics

Content of the lecture.

Reading list

Brickell, Clark, Differentiable manifolds.
Cap, Lie Groups.
Chevalley, Theory of Lie groups.
Duistermaat, Kolk, Lie groups.
Hilgert, Neeb, Lie Gruppen und Lie Algebren.
Lee, Manifolds and differential geometry.
Michor, Topics in differential geometry.

Association in the course directory

MGEL; ML2; MEL

Last modified: Mo 30.03.2026 11:47