Universität Wien

250071 VO Lie groups (2020W)

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

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Details

Sprache: Englisch

Prüfungstermine

Lehrende

Termine (iCal) - nächster Termin ist mit N markiert

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.

  • Montag 05.10. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 06.10. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Montag 12.10. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 13.10. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Montag 19.10. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 20.10. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 27.10. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 03.11. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Montag 09.11. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 10.11. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Montag 16.11. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 17.11. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Montag 23.11. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 24.11. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Montag 30.11. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 01.12. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Montag 07.12. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Montag 14.12. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 15.12. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Montag 11.01. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 12.01. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Montag 18.01. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 19.01. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Montag 25.01. 15:00 - 16:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 26.01. 15:00 - 15:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock

Information

Ziele, Inhalte und Methode der Lehrveranstaltung

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.

Art der Leistungskontrolle und erlaubte Hilfsmittel

Oral exam after the end of the course.

Mindestanforderungen und Beurteilungsmaßstab

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.

Prüfungsstoff

The contents of the course.

Literatur

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.

Zuordnung im Vorlesungsverzeichnis

MGEL

Letzte Änderung: Di 13.09.2022 00:23