Graded characters of modules supported in the closure of a nilpotent conjugacy class

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dc.creatorShimozono, Mark
dc.creatorWeyman, Jerzy
dc.date1998-04-07
dc.date.accessioned2026-07-07T05:24:20Z
dc.date.available2026-07-07T05:24:20Z
dc.descriptionWe study the Poincare polynomials of isotypic components of a natural family of graded GL(n)-modules supported in the closure of a nilpotent conjugacy class. These polynomials generalize the Kostka-Foulkes and are q-analogues of Littlewood-Richardson coefficients corresponding to arbitrary tensor products of irreducibles. Many properties and formulas for these polynomials are derived, such as a generalized Morris recurrence, q-Kostant formula, and a conjectural formula in terms of catabolizable tableaux and charge.
dc.description31 pages, AMS-LaTeX
dc.identifierhttps://arxiv.org/abs/math/9804036
dc.identifierhttp://arxiv.org/abs/math/9804036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76801
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subject05E05
dc.titleGraded characters of modules supported in the closure of a nilpotent conjugacy class
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