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

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

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Quantum Algebra, 17B68, 17B69

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http://salesiana.dossiersoluciones.com/handle/123456789/99975

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504463
 http://arxiv.org/abs/math/0504463

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arXiv