250088 SE Infinite-dimensional Lie algebras (2014W)
Continuous assessment of course work
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Details
Language: English
Lecturers
Classes
Erstmals am Donnerstag, 2. Oktober 2014
Termin: Donnerstags von 14.15 - 15:45
ESI Schrödinger-Hörsaal
Information
Aims, contents and method of the course
The purpose of the seminar is to introduce and study certain infinite-dimensional Lie algebras (as well as aspects of their representation theory) which are relevant in conformal field theory, string theory, and for knot invariants. The first few sessions will review/introduce notions and results from the theory of finite-dimensional semi-simple complex Lie algebras. Then we move on to the Virasoro algebra Vir and its minimal representations; supersymmetric extensions of Vir; affine Kac-Moody algebras; Sugawara construction of Vir-representations. Further topics may include quantum groups and the basics of their 2-representation theory.
Assessment and permitted materials
giving a seminar talk
Minimum requirements and assessment criteria
Examination topics
Reading list
Association in the course directory
MALS, MGES
Last modified: Fr 31.08.2018 08:54