The Bailey lemma and Kostka polynomials

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dc.creatorWarnaar, S. Ole
dc.date2002-07-03
dc.date.accessioned2026-07-07T09:48:53Z
dc.date.available2026-07-07T09:48:53Z
dc.descriptionUsing the theory of Kostka polynomials, we prove an A_{n-1} version of Bailey's lemma at integral level. Exploiting a new, conjectural expansion for Kostka numbers, this is then generalized to fractional levels, leading to a new expression for admissible characters of A_{n-1}^{(1)} and to identities for A-type branching functions.
dc.description39 pages, AMS-LaTeX
dc.identifierhttps://arxiv.org/abs/math/0207030
dc.identifierhttp://arxiv.org/abs/math/0207030
dc.identifierJ. Algebraic Combin. 20 (2004), 131-171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164379
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.subjectPrimary 05A19, 05E05, 11B65; Secondary 17B65, 33D15
dc.titleThe Bailey lemma and Kostka polynomials
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