A new formula for weight multiplicities and characters

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dc.creatorSahi, Siddhartha
dc.date1998-02-27
dc.date.accessioned2026-07-07T05:23:57Z
dc.date.available2026-07-07T05:23:57Z
dc.descriptionWe describe a new formula for weight multiplicities and characters of semisimple Lie algebras. Our formula expresses these weight multiplicities as sums of positive rational numbers. In fact, the formula works more generally for the Jacobi polynomials of Heckman and Opdam, which are a one parameter deformation of these characters. As a consequence we prove that after suitable normalization, the coefficients of these polynomials are themselves polynomials in the parameter with positive integral coefficients. This generalizes our earlier joint work with F. Knop on Jack polynomials.
dc.description9 pages, TeX
dc.identifierhttps://arxiv.org/abs/math/9802127
dc.identifierhttp://arxiv.org/abs/math/9802127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76651
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleA new formula for weight multiplicities and characters
dc.typetext

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