A recurrence relation for characters of highest weight integrable modules for affine Lie algebras

Details A recurrence relation for characters of highest weight integrable modules for affine Lie algebras A recurrence relation for characters of highest weight integrable modules for affine Lie algebras

2005-04-22

arxiv.org/abs/math/0504463v2

Mathematics

Quantum Algebra

A new title and a lot of changes in exposition, final version to appear in Communications in Contemporary Mathematics

Scientific paper

Using certain results for the vertex operator algebras associated with affine Lie algebras we obtain recurrence relations for the characters of integrable highest weight irreducible modules for an affine Lie algebra. As an application we show that in the simply-laced level 1 case, these recurrence relations give the known characters, whose principal specializations naturally give rise to some multisum Macdonald identities.

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