250094 VO Lie algebras and representation theory (2015S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Monday 10.08.2015 Monday 28.09.2015 Monday 29.02.2016

Lecturers

Dietrich Burde

Classes (iCal) - next class is marked with N

    
    Wednesday
    04.03.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Thursday
    05.03.
    13:15 - 14:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    11.03.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    18.03.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Thursday
    19.03.
    13:15 - 14:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    25.03.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Thursday
    26.03.
    13:15 - 14:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    15.04.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Thursday
    16.04.
    13:15 - 14:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    22.04.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Thursday
    23.04.
    13:15 - 14:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    29.04.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Thursday
    30.04.
    13:15 - 14:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    06.05.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Thursday
    07.05.
    13:15 - 14:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    13.05.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    20.05.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Thursday
    21.05.
    13:15 - 14:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    27.05.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Thursday
    28.05.
    13:15 - 14:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    03.06.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    10.06.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Thursday
    11.06.
    13:15 - 14:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    17.06.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Thursday
    18.06.
    13:15 - 14:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Wednesday
    24.06.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Thursday
    25.06.
    13:15 - 14:45
    Seminarraum 10  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 or oral exam after the end of the lecture

Minimum requirements and assessment criteria

Examination topics

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] Winnter, David J.: Abstract Lie algebras. 1972

Association in the course directory

MALV, MGEV

Last modified: Mo 07.09.2020 15:40