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401-3201-00L 8 Credits BSC , MSC D-MATH

Algebraic Groups

Lecturers & Examiners: Dr. Paul D. Nelson

VVZ CR n/a

Last Updated: 2026-02-05 15:41:21

Abstract

Introduction to the theory of linear algebraic groups. Lie algebras, the Jordan Chevalley decomposition, semisimple and reductive groups, root systems, Borel subgroups, classification of reductive groups and their representations.

Resources

Literature

A. L. Onishchik and E.B. Vinberg, Lie Groups and Algebraic Groups

Learning Materials (Links)

Main link
Information

General Information

Language: English
Levels: BSC , MSC

Examination

Type: session examination
Mode: oral 30 minutes

Course Components

Type	Title	Time & Place	Hours
lecture with exercise	Algebraic Groups	Mon 15:15-17:00 (HG E 1.1) Wed 13:15-15:00 (HG E 33.3)	4 h weekly

Offered In

Mathematics Bachelor
- Electives
  - Selection: Algebra, Number Thy, Topology, Discrete Mathematics, Logic
Mathematics Master
- Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 15 of the required 28 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
  - Electives: Pure Mathematics
    - Selection: Algebra, Number Thy, Topology, Discrete Mathematics, Logic