An Explicit Construction of Type A Demazure Atoms

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dc.creatorMason, Sarah
dc.date2007-07-28
dc.date2009-04-02
dc.date.accessioned2026-07-07T12:58:43Z
dc.date.available2026-07-07T12:58:43Z
dc.descriptionDemazure characters of type A, which are equivalent to key polynomials, have been decomposed by Lascoux and Schützenberger into standard bases. We prove that the resulting polynomials, which we call Demazure atoms, can be obtained from a certain specialization of nonsymmetric Macdonald polynomials. This combinatorial interpretation for Demazure atoms accelerates the computation of the right key associated to a semi-standard Young tableau. Utilizing a related construction, we provide a new combinatorial description for the key polynomials.
dc.description15 pages; final version
dc.identifierhttps://arxiv.org/abs/0707.4267
dc.identifierhttp://arxiv.org/abs/0707.4267
dc.identifierJournal of Algebraic Combinatorics, Vol. 29, (2009), No. 3, p.295--313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225338
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject05E05, 05E10
dc.titleAn Explicit Construction of Type A Demazure Atoms
dc.typetext

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