Universität Wien
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250071 VO Lie groups (2017W)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 02.10. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 04.10. 12:15 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 09.10. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 11.10. 12:15 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.10. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 18.10. 12:15 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.10. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 25.10. 12:15 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 30.10. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 06.11. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 08.11. 12:15 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 13.11. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 15.11. 12:15 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 20.11. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 22.11. 12:15 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 27.11. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 29.11. 12:15 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 04.12. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 06.12. 12:15 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 11.12. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 13.12. 12:15 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 08.01. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 10.01. 12:15 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 15.01. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 17.01. 12:15 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 22.01. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 24.01. 12:15 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 29.01. 11:30 - 13:00 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 31.01. 12:15 - 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.

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: Mo 07.09.2020 15:40