Generalized exponents of small representations. II

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dc.creatorIon, Bogdan
dc.date2009-04-16
dc.date.accessioned2026-07-07T13:05:00Z
dc.date.available2026-07-07T13:05:00Z
dc.descriptionThis is the second paper in a sequence devoted to giving manifestly non-negative formulas for generalized exponents of small representations in all types. It contains a first formula for generalized exponents of small weights which extends the Shapiro-Steinberg formula for classical exponents. The formula is made possible by a computation of Fourier coefficients of the degenerate Cherednik kernel. Unlike the usual partition function coefficients, the answer reflects only the combinatorics of minimal expressions as a sum of roots.
dc.description70 pg
dc.identifierhttps://arxiv.org/abs/0904.2487
dc.identifierhttp://arxiv.org/abs/0904.2487
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227366
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject17B10
dc.titleGeneralized exponents of small representations. II
dc.typetext

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