Characters of highest weight modules over affine Lie algebras are meromorphic functions
Mathematical Physics
2007-05-23 v1 math.MP
Representation Theory
Abstract
We show that the characters of all highest weight modules over an affine Lie algebra with the highest weight away from the critical hyperplane are meromorphic functions in the positive half of Cartan subalgebra, their singularities being at most simple poles at zeros of real roots. We obtain some information about these singularities.
Keywords
Cite
@article{arxiv.0704.2876,
title = {Characters of highest weight modules over affine Lie algebras are meromorphic functions},
author = {M. Gorelik and V. Kac},
journal= {arXiv preprint arXiv:0704.2876},
year = {2007}
}
Comments
20 pages