Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-43-20-K-7

Algebraic Groups (4V, 9.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
4 V Lecture 9.0 CP 56 h 214 h
(4V) 9.0 CP 56 h 214 h

Basedata

SWS 4V
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

  • Linear algebraic groups,
  • Classical groups,
  • Nilpotent and solvable groups,
  • Borel subgroups,
  • Root systems,
  • Classification theorem,
  • Structure of semisimple groups.

Literature

  • G. Malle, D. Testermann: Linear Algebraic Groups and Finite Groups of Lie Type,
  • J.E. Humphreys: Linear Algebraic Groups.

Materials

Further literature will be announced in the lecture.

Requirements for attendance (informal)

Knowledge from the course [MAT-40-12-K-7] is useful but not necessarily required.

Modules:

Courses

Requirements for attendance (formal)

None

References to Course [MAT-43-20-K-7]

Module Name Context
[MAT-43-20-M-7] Algebraic Groups P: Obligatory 4V, 9.0 LP