| Course: | MTH 3326, Topics in Representation Theory (Kac-Moody Lie Algebras) |
| Instructor: | Professor Andrei Zelevinsky |
| Time and Place: | T. & Th. at 5:30 - 7:00 PM, in 544 NI |
| Prerequisites: | Basic algebraic concepts, elements of Lie theory |
| Textbook: | Victor G. Kac. Infinite dimensional Lie algebras. Third Edition. Cambridge University Press, 1990. |
The course provides an introduction to the modern theory of infinite dimensional Lie algebras and their representations. We shall focus on Kac-Moody Lie algebras which provide a natural generalization of (finite-dimensional) semisimple Lie algebras. Discovered independently by V. Kac and R. Moody thirty years ago, Kac-Moody algebras found many important applications in such diverse areas as mathematical physics, non-linear differential equations, and number theory. We are going to discuss in detail basic properties of these algebras and their representations. An important part of the course will be presentations by students on more advanced structural properties and applications of Kac-Moody algebras.
Created: September 21, 1998. Last modified: September 21, 1998.