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Workshop and Conference on Infinite Dimensional Lie Theory and Its Applications
July 17-25, 2003
The Fields Institute
Toronto, ON, Canada

Organizers
B. Allison (Alberta), S. Berman (Saskatoon), Y. Billig (Carleton), Y. Gao (York), E. Neher (Ottawa), A. Pianzola (Alberta)

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On certain categories of modules for affine Lie algebras
by
Haisheng Li
Rutgers University-Camden

In this talk, I will present certain results about the integrable modules of Chari-Pressley for an (untwisted) affine Lie algebra [^\g] by exploiting basic formal variable techniques. We define two categories E and C of [^\g]-modules using generating functions, where E contains evaluation modules and C unifies highest weight modules, evaluation modules and their tensor product modules, and we then classify integrable irreducible [^\g]-modules in categories E and C.

Date received: June 24, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cals-16.