A determinant-like formula for the Kostka numbers

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dc.creatorLederer, Mathias
dc.date2005-01-10
dc.date2005-09-01
dc.date.accessioned2026-07-07T05:15:56Z
dc.date.available2026-07-07T05:15:56Z
dc.descriptionYoung tableaux are ubiquitous in various branches of mathematics. There are two counting formulas for standard Young tableaux. The first involves a determinant and goes back to Frobenius and Young, and the second is the hook formula by Frame, Robinson and Thrall. We present a generalization of the determinant formula for semistandard Young tableaux of given shape and of given content. Our counting formula -- though not a determinant -- is a generalization of the determinant formula by Frobenius and Young.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0501132
dc.identifierhttp://arxiv.org/abs/math/0501132
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73807
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject05A15, 05A10 (Primary) 20C30 (Secondary)
dc.titleA determinant-like formula for the Kostka numbers
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