MTH 3326 - Topics in Representation Theory
Winter 2002
Course Information
| Course: |
MTH
3326, Topics in Representation Theory (Kac-Moody Lie Algebras) |
| Instructor: |
Professor Andrei Zelevinsky |
| Time and Place: |
Tue., Fr. 1:00 - 2:30 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. |
Course Description
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
about 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.
Students' Presentations (Wednesday, March 13, 10:00am
- 3:00pm, in 544 NI):
Ahmet Seven: Coxeter groups and Tits systems.
Valentin Silantyev: Hyperbolic lattices.
Michael Nathanson: The Gabber-Kac theorem.
Stephen Lovett: Generalized Kac-Moody algebras.
Department of Mathematics
Northeastern University
Boston, MA,
02115
Office: 431 LA
Phone: (617) 373-5648
Email: andrei@neu.edu
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Created: January 1, 2002. Last modified: March 8, 2002.