Universität Wien

250071 VO Lie groups (2019W)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 03.10. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 04.10. 09:30 - 10:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 10.10. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 11.10. 09:30 - 10:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 17.10. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 18.10. 09:30 - 10:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 24.10. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 25.10. 09:30 - 10:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 31.10. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Thursday 07.11. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 08.11. 09:30 - 10:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 14.11. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 15.11. 09:30 - 10:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 21.11. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 22.11. 09:30 - 10:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 28.11. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 29.11. 09:30 - 10:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 05.12. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 06.12. 09:30 - 10:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 12.12. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 13.12. 09:30 - 10:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 09.01. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 10.01. 09:30 - 10:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 16.01. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 17.01. 09:30 - 10:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 23.01. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 24.01. 09:30 - 10:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 30.01. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 31.01. 09:30 - 10:15 Seminarraum 9 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.

Assessment and permitted materials

Oral exam.

Minimum requirements and assessment criteria

Working knowledge of course material.

Examination topics

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

Last modified: Fr 03.09.2021 00:22