Lecture Course: Representation Theory 2


Prof. Dr. Catharina Stroppel, Dr. Olaf Schnürer.

Time: Mondays, 8.15-10.00, and Wednesdays, 10.15-12.00.
Place: Seminarraum 1.008, Mathematik-Zentrum, Endenicher Allee 60.

This course concerns Lie algebras and their representation theory.
Topics to be discussed: General theory of Lie algebras, structure theory and classification of semisimple Lie algebras in terms of Dynkin diagrams, root systems, (finite dimensional) irreducible representations, character formulae, ...

Prerequisites are a basic knowledge of algebra (mainly linear algebra) and possibly some elementary algebraic geometry.

Exercise class

  • Thursday, 8-10, MZ 0.006. Tutor: Hanno Becker.

  • Exercise Sheets

  • Sheet 1 (pdf)
  • Sheet 2 (pdf)
  • Sheet 3 (pdf)
  • Sheet 4 (pdf)
  • Sheet 5 (pdf)
  • Sheet 6 (pdf)
  • Sheet 7 (pdf)
  • Sheet 8 (pdf)
  • Sheet 9 (pdf)
  • Sheet 10 (pdf)
  • Sheet 11 (pdf)

  • Literature

  • Humphreys: Introduction to Lie algebras and Representation Theory. Springer.
  • Bourbaki: Groupes et algebres de Lie.