The Cherednik kernel and generalized exponents

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dc.creatorIon, Bogdan
dc.date2003-11-17
dc.date.accessioned2026-07-07T05:02:56Z
dc.date.available2026-07-07T05:02:56Z
dc.descriptionWe show how the knowledge of the Fourier coefficients of the Cherednik kernel leads to combinatorial formulas for generalized exponents. We recover known formulas for generalized exponents of irreducible representations parameterized by dominant roots, and obtain new formulas for the generalized exponents for irreducible representations parameterized by the dominant elements of the root lattice which are sums of two orthogonal short roots.
dc.description22 pg
dc.identifierhttps://arxiv.org/abs/math/0311258
dc.identifierhttp://arxiv.org/abs/math/0311258
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69212
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.titleThe Cherednik kernel and generalized exponents
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