Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-43-27-K-7

Lie Algebras and their Representation Theory (4V+2U, 9.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U) 9.0 CP 186 h
4 V Lecture 56 h
2 U Exercise class (in small groups) 28 h
(4V+2U) 9.0 CP 84 h 186 h

Basedata

SWS 4V+2U
CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-AGCA] Algebra, Geometry and Computer Algebra
Additional informations
Livecycle-State [NORM] Active

Contents

  • general concept of Lie algebras and their relation to Lie groups
  • classification of the semi-simple (complex) Lie algebras
  • fundamentals of the representation theory of semisimple Lie algebras
  • combinatorial structures of Lie theory: root systems, Weyl groups, Dynkin diagrams.

Literature

  • J. E. Humphreys: Introduction to Lie Algebras and Representation Theory,
  • K. Erdmann: Introduction to Lie Algebras.

Materials

Further literature will be announced in the lecture(s); exercise material is provided.

Registration

Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).

Requirements for attendance (informal)

Knowledge from the module [MAT-40-25-M-4] is desirable and helpful, but is not mandatory.

Modules:

Courses

Requirements for attendance (formal)

None

References to Course [MAT-43-27-K-7]

Module Name Context
[MAT-43-27-M-7] Lie Algebras and their Representation Theory P: Obligatory 4V+2U, 9.0 LP