A combinatorial proof of a Weyl type formula for hook Schur polynomials

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dc.creatorKwon, Jae-Hoon
dc.date2006-12-29
dc.date2007-02-02
dc.date.accessioned2026-07-07T07:44:15Z
dc.date.available2026-07-07T07:44:15Z
dc.descriptionIn this paper, we present a simple combinatorial proof of a Weyl type formula for hook Schur polynomials, which has been obtained by using a Kostant type cohomology formula for $\frak{gl}_{m|n}$. In general, we can obtain in a combinatorial way a Weyl type formula for various highest weight representations of a Lie superalgebra, which together with a general linear algebra forms a Howe dual pair.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0612845
dc.identifierhttp://arxiv.org/abs/math/0612845
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123129
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject17B10
dc.titleA combinatorial proof of a Weyl type formula for hook Schur polynomials
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