104.576 AKALG Lie algebras and representation theory 2
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2022W, VO, 2.0h, 3.0EC

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: VO Lecture
  • Format: Presence

Learning outcomes

After successful completion of the course, students are able to zu completely classify all root systems. They can formulate and prove the conjugation theorem for Cartan subalgebras and they can define the universal enveloping algebra and apply it in the proof of the Theorem of Serre.

Subject of course

Classification of root systems, isomorphism and conjugacy theorems, universal enveloping algebras, Serre's Theorem and the classification of complex simple Lie algebras

Teaching methods

Mathematical definitions and proofs

Mode of examination

Oral

Additional information

Date: Wednesday, 1.30 p.m to 3.00 p.m

Ort: Besprechungszimmer, 7. Stock, Freihaus, grün (FB Konvexe und Diskrete Geometrie)

Lecturers

Institute

Examination modalities

Oral exam

Course registration

Not necessary

Curricula

Study CodeObligationSemesterPrecon.Info
860 GW Optional Courses - Technical Mathematics Mandatory elective

Literature

Class notes are available.

Previous knowledge

The course is a continuation of "AKALG Lie Algebren und Darstellungstheorie 1".

Preceding courses

Language

German