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Instructors: Prof. Dr. rer. nat. Nils Scheithauer; M.Sc. Maximilian Rössler
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
04-10-0526-vu
Subject:
Crediting for:
Hours per week:
3
Language of instruction:
German
Min. | Max. participants:
- | -
Course Contents:
We start with a short summary of the structure and representation theory of finite-dimensional simple Lie algebras. After that we are considering the affinizations of these Lie algebras, in particular their representations. We will see that some of them carry the structure of a vertex algebra. These are the Wess-Zumino-Witten models known in physics. In the final part of the lecture we give an introduction to the theory of vertex algebras.
Literature:
Serre: Complex semisimple Lie algebras
Humphreys: Introduction to Lie algebras and representation theory
Bourbaki: Lie groups and Lie algebras
Kac: Infinite dimensional Lie algebras
Carter: Lie algebras of finite and affine type
Kac: Vertex algebras for beginners
Frenkel, Ben-Zvi: Vertex algebras and algebraic curves
Preconditions:
(participation without certification of prerequisites is possible)
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