250307 VO Lie algebras and representation theory (2008S)
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Details
Language: German
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
Wednesday
05.03.
10:00 - 12:00
Seminarraum
Thursday
06.03.
10:00 - 12:00
Seminarraum
Wednesday
12.03.
10:00 - 12:00
Seminarraum
Thursday
13.03.
10:00 - 12:00
Seminarraum
Wednesday
19.03.
10:00 - 12:00
Seminarraum
Thursday
20.03.
10:00 - 12:00
Seminarraum
Wednesday
26.03.
10:00 - 12:00
Seminarraum
Thursday
27.03.
10:00 - 12:00
Seminarraum
Wednesday
02.04.
10:00 - 12:00
Seminarraum
Thursday
03.04.
10:00 - 12:00
Seminarraum
Wednesday
09.04.
10:00 - 12:00
Seminarraum
Thursday
10.04.
10:00 - 12:00
Seminarraum
Wednesday
16.04.
10:00 - 12:00
Seminarraum
Thursday
17.04.
10:00 - 12:00
Seminarraum
Wednesday
23.04.
10:00 - 12:00
Seminarraum
Thursday
24.04.
10:00 - 12:00
Seminarraum
Wednesday
30.04.
10:00 - 12:00
Seminarraum
Wednesday
07.05.
10:00 - 12:00
Seminarraum
Thursday
08.05.
10:00 - 12:00
Seminarraum
Wednesday
14.05.
10:00 - 12:00
Seminarraum
Thursday
15.05.
10:00 - 12:00
Seminarraum
Wednesday
21.05.
10:00 - 12:00
Seminarraum
Wednesday
28.05.
10:00 - 12:00
Seminarraum
Thursday
29.05.
10:00 - 12:00
Seminarraum
Wednesday
04.06.
10:00 - 12:00
Seminarraum
Thursday
05.06.
10:00 - 12:00
Seminarraum
Wednesday
11.06.
10:00 - 12:00
Seminarraum
Thursday
12.06.
10:00 - 12:00
Seminarraum
Wednesday
18.06.
10:00 - 12:00
Seminarraum
Thursday
19.06.
10:00 - 12:00
Seminarraum
Wednesday
25.06.
10:00 - 12:00
Seminarraum
Thursday
26.06.
10:00 - 12:00
Seminarraum
Information
Aims, contents and method of the course
Assessment and permitted materials
Minimum requirements and assessment criteria
The aim of this lecture is to provide the basic theory and knowledge on Lie algebras and representation theory, as it is necessary for further directions of Differential
Geometry and Number Theory. To be more precise, we list a few of the directions: Lie Groups, Geometric structures on manifolds, Crystallographic groups, Arithmetic of Algebraic Groups, Automorphic Forms and L-functions, Real and p-adic Lie Groups,
Geometry of Arithmetic Varieties and other directions.
Geometry and Number Theory. To be more precise, we list a few of the directions: Lie Groups, Geometric structures on manifolds, Crystallographic groups, Arithmetic of Algebraic Groups, Automorphic Forms and L-functions, Real and p-adic Lie Groups,
Geometry of Arithmetic Varieties and other directions.
Examination topics
Reading list
1.) Jacobson, Nathan: Lie algebras. 1962
2.) Serre, Jean-Pierre: Lie algebras and Lie groups. 1965
3.) Stewart, I.: Lie algebras. 1970
4.) Winter, David J.: Abstract Lie algebras. 1972
5.) Humphreys, J.E.: Introduction to Lie algebras and representation theory. 1972
6.) Varadarajan, V.S.: Lie groups, Lie algebras, and their representations. 1974
7.) Bourbaki, Nicolas: Lie groups and Lie algebras. 1975
8.) Bahturin, Ju.A.: Lectures on Lie algebras. 1978
9.) Onishchik, A.L.: Introduction to the theory of Lie groups and Lie algebras. 1979
10.) Zassenhaus, Hans: Lie groups, Lie algebras and representation theory. 1981
11.) Postnikov, M.M.: Lie groups and Lie algebras. 1982
12.) Kirillov, A.A.: Representations of Lie groups and Lie algebras. 1985
13.) Seligman, George B.: Constructions of Lie algebras and their modules. 1988
14.) Knapp, Anthony W.: Lie groups, Lie algebras, and cohomology. 1988
15.) Hilgert, Joachim; Neeb, Karl-Hermann: Lie-Gruppen und Lie-Algebren. 1991
16.) Carter, Roger: Lie algebras of finite and affine type. 2005
2.) Serre, Jean-Pierre: Lie algebras and Lie groups. 1965
3.) Stewart, I.: Lie algebras. 1970
4.) Winter, David J.: Abstract Lie algebras. 1972
5.) Humphreys, J.E.: Introduction to Lie algebras and representation theory. 1972
6.) Varadarajan, V.S.: Lie groups, Lie algebras, and their representations. 1974
7.) Bourbaki, Nicolas: Lie groups and Lie algebras. 1975
8.) Bahturin, Ju.A.: Lectures on Lie algebras. 1978
9.) Onishchik, A.L.: Introduction to the theory of Lie groups and Lie algebras. 1979
10.) Zassenhaus, Hans: Lie groups, Lie algebras and representation theory. 1981
11.) Postnikov, M.M.: Lie groups and Lie algebras. 1982
12.) Kirillov, A.A.: Representations of Lie groups and Lie algebras. 1985
13.) Seligman, George B.: Constructions of Lie algebras and their modules. 1988
14.) Knapp, Anthony W.: Lie groups, Lie algebras, and cohomology. 1988
15.) Hilgert, Joachim; Neeb, Karl-Hermann: Lie-Gruppen und Lie-Algebren. 1991
16.) Carter, Roger: Lie algebras of finite and affine type. 2005
Association in the course directory
MALV, MGEV
Last modified: Mo 07.09.2020 15:40
We classify simple representations of complex semisimple Lie algebras.