Multi-atoms and monotonicity of generalized Kostka polynomials

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dc.creatorShimozono, Mark
dc.date1998-04-07
dc.date.accessioned2026-07-07T05:24:21Z
dc.date.available2026-07-07T05:24:21Z
dc.descriptionThe generalized Kostka polynomials are the Poincare polynomials of isotypic components of certain graded GL(n)-modules. The former satisfy a monotonicity property arising from natural surjections of the corresponding modules. This monotonicity property is realized combinatorially by a directed system of order- and statistic-preserving embeddings between the sets of Littlewood-Richardson (LR) tableaux that describe the generalized Kostka polynomials. Each set of LR tableaux is embedded into a cocyclage poset of column-strict tableaux of a fixed content, and the image is characterized in terms of catabolizable tableaux.
dc.description22 pages, AMS-LaTeX
dc.identifierhttps://arxiv.org/abs/math/9804038
dc.identifierhttp://arxiv.org/abs/math/9804038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76803
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subject05E05
dc.titleMulti-atoms and monotonicity of generalized Kostka polynomials
dc.typetext

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