Relations for annihilating fields of standard modules for affine Lie algebras
by
Mirko Primc
Department of Mathematics, University of Zagreb

The main ingredients of the construction of combinatorial bases of standard modules for affine Lie algebras are defining relations for standard modules, i.e., the coefficients of annihilating fields, and the relations among them. In this talk I'll discuss the construction of relations among relations by using tensor product vertex operators associated to elements in the kernel of the (normal order) product F(a, b)=a(-1)b, and how ker(F) is related to induced representations of affine Lie algebras.

Date received: April 28, 2001

Copyright © 2001 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 Conferences Inc. Document # cagt-37.