Universität Wien
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250071 VO Lie groups (2018W)

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

The time slots Tue. 13:15-14:45 and Wed. 9:45-11:15 will be used jointly for the lecture course and the proseminar, the precise timing of the proseminar will be decided during the first lectures.

  • Tuesday 02.10. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 03.10. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 09.10. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 10.10. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 16.10. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 17.10. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 23.10. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 24.10. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 30.10. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 31.10. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 06.11. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 07.11. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 13.11. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 14.11. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 20.11. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 21.11. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 27.11. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 28.11. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 04.12. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 05.12. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 11.12. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 12.12. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 08.01. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 09.01. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 15.01. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 16.01. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 22.01. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 23.01. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 29.01. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 30.01. 09:45 - 10:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

Lecture course on the fundamentals of the theory of Lie groups and their Lie algebras. Prerequisites include analysis on manifolds. Contents: Lie groups and their Lie algebras; Lie subgroups and homogeneous spaces; Frobenius' theorem and existence results; compact Lie groups and their representations, maximal tori, the Peter-Weyl theorem. For further information, please refer to http://www.mat.univie.ac.at/~cap/ankws1819.html .

Assessment and permitted materials

Oral exam after the end of the course.

Minimum requirements and assessment criteria

Fundamental facts on Lie groups, their relation to Lie algebras, their role as groups of symmetries, and on the theory of compact Lie groups and their representations.

Examination topics

The contents of the course.

Reading list

Lecture notes will be available online at http://www.mat.univie.ac.at/~cap/lectnotes.html in due time. The version from WS2015/16 that is currently online there may be reworked a bit before the beginning of the semester.

Association in the course directory

MGEL

Last modified: Mo 07.09.2020 15:40