Universität Wien
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250071 VO Lie groups (2020W)

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

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

The time slots Monday 15:00 - 16:30 in HS 13 and Tuesday 15:00 - 16:30 in HS 11 were orginally reserved jointly for the lecture course and the proseminar, which is taught by Michal Wasilewicz. After a vote among the students registered for the proseminar, it was decided that the proseminar will take place on 7 Mondays, namely October 19, November 9, 16, and 30, December 14, and January 11 and 25. On all other Mondays and all Tuesdays indicated above, the full time slot 15:00-16:30 will be used by the lecture course.

  • Monday 05.10. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 06.10. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 12.10. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 13.10. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 19.10. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 20.10. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 27.10. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 03.11. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 09.11. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 10.11. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.11. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 17.11. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.11. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 24.11. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 30.11. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 01.12. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 07.12. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 14.12. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 15.12. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 11.01. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 12.01. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 18.01. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 19.01. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 25.01. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 26.01. 15:00 - 15:45 Hörsaal 11 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 the preface of the lecture notes, which are available via http://www.mat.univie.ac.at/~cap/lectnotes.html .

According to the current planning, it should be possible to cover the whole course in presence teaching in just one group. Of course, if additional corona restrictions are imposed, it will be necessary to include self-learning and online elements during the semester. There is a moodle page set up for the course to which you can self-inscribe. This will be used for communication about the course, in particular in case online teaching becomes necessary.

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. The usual standards for the master program will be imposed.

Examination topics

The contents of the course.

Reading list

Lecture notes are available online via http://www.mat.univie.ac.at/~cap/lectnotes.html . Observe that there are substantial changes in the notes compared to the version from WS2018/19 that was available online earlier. The notes also contain information on additional literature.

Association in the course directory

MGEL

Last modified: Tu 13.09.2022 00:23