Universität Wien
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250132 VO Lie Algebras and Representation Theory (2018S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 01.03. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 05.03. 14:15 - 15:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 08.03. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 15.03. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 19.03. 14:15 - 15:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 22.03. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 09.04. 14:15 - 15:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 12.04. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.04. 14:15 - 15:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 19.04. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.04. 14:15 - 15:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 26.04. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 30.04. 14:15 - 15:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 03.05. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 07.05. 14:15 - 15:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 14.05. 14:15 - 15:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 17.05. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 24.05. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 28.05. 14:15 - 15:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 04.06. 14:15 - 15:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 07.06. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 11.06. 14:15 - 15:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 14.06. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 18.06. 14:15 - 15:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 21.06. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 25.06. 14:15 - 15:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 28.06. 14:00 - 15:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The lecture gives an introduction to the structure theory and representation
theory of Lie algebras. The main focus here lies on the classification of
finite-dimensional complex semisimple Lie algebras and their simple representations.
Further keywords are the theorems of Engel and Lie, the Jordan-Chevalley decomposition, the Cartan criteria, Weyl's theorem, the theorems of Levi and Malcev, Serre's theorem, and highest-weight modules.

Assessment and permitted materials

Written exam after the end of the lecture

Minimum requirements and assessment criteria

Linear algebra, algebra I and II

Examination topics

All topics covered in the lecture

Reading list

[1] Bourbaki, Nicolas: Lie groups and Lie algebras. 1975
[2] Fulton, William; Harris,Joe: Representation Theory. 2004
[3] Humphreys, James. E.: Introduction to Lie algebras and representation theory. 1972
[4] Jacobson, Nathan: Lie algebras. 1962
[5] Kirillov, A.A.: Representations of Lie groups and Lie algebras. 1985
[6] Knapp, Anthony W.: Lie Groups: Beyond an Introduction. 2002
[7] Serre, Jean-Pierre: Lie algebras and Lie groups. 1965
[8] Serre, Jean-Pierre: Complex semisimple Lie algebras. 1987
[9] Varadarajan, V.S.: Lie groups, Lie algebras, and their representations. 1974
[10] Winter, David J.: Abstract Lie algebras. 1972

Association in the course directory

MALV, MGEV

Last modified: Mo 07.09.2020 15:40