Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-43-21-K-7

Finite Groups of Lie Type (2V, 4.5 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 V Lecture 4.5 CP 28 h 107 h
(2V) 4.5 CP 28 h 107 h

Basedata

SWS 2V
CP, Effort 4.5 CP = 135 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

  • automorphisms of algebraic groups,
  • maximum weight modules of algebraic groups,
  • Steinberg endomorphisms,
  • Lang-Steinberg theorem,
  • tori and Sylow groups.

Literature

  • R. Carter: Finite Groups of Lie Type, Conjugacy Classes and Complex Characters,
  • F. Digne , J. Michel: Representations of Finite Groups of Lie Type,
  • G. Malle, D. Testermann: Linear Algebraic Groups and Finite Groups of Lie Type.

Materials

Further literature will be announced in the lecture.

Requirements for attendance (informal)

Additional knowledge from the module [MAT-40-25-M-4] is useful but not necessarily required.

Modules:

Courses

Requirements for attendance (formal)

None

References to Course [MAT-43-21-K-7]

Module Name Context
[MAT-43-21-M-7] Finite Groups of Lie Type P: Obligatory 2V, 4.5 LP