Lie Algebras and Representation Theory
SS 2018

Dietrich Burde

Lectures: Monday 14:15-15:45, Thursday 14:00-15:30, SR07.

  • This page provides informations and lectures notes.
  • Find here the dates and a syllabus, including a bibliography.

    • pdf-files:

    No. Topic Date pdf-file
    1 Lecture notes 02/2018 lie_algebra_course.pdf
    3 Previous Exercises (German) 02/2015 lie_1.pdf
    4 Previous Exercises (German) 02/2015 lie_2.pdf

    Prüfungsthemen - Exam topics:

    1. Lie algebras, derivations and homomorphisms
    2. Ideals and Semidirect sums
    3. Classification of low-dimensional Lie algebras
    4. Lie Algebra Representations
    5. Semisimple and reductive Lie Algebras
    6. Nilpotent and solvable Lie algebras, Engel's Theorem and Lie's Theorem.
    7. Weyl's Theorem, Levi's Theorem and Mal'cev's Theorem
    8. The classification of complex semisimple Lie algebras
    9. Lie-Algebra cohomology
  • Exam 1: Monday 25.06.2018, 14:00-15:00 SR7
  • Exam 2: Monday 01.10.2018, 15:30-16:30 SR8
  • Exam 3: Monday 28.01.2019, 15:00-16:00 SR8

    • Have a look at this:




    Calvin and Hobbes
    Fermat and Wiles