Characters of highest weight modules over affine Lie algebras are meromorphic functions

Details Characters of highest weight modules over affine Lie algebras are meromorphic functions Characters of highest weight modules over affine Lie algebras are meromorphic functions

2007-04-22

arxiv.org/abs/0704.2876v1

Physics

Mathematical Physics

20 pages

Scientific paper

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.

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