Universität Wien

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