Skew divided difference operators and Schubert polynomials

dc.creatorKirillov, Anatol N.
dc.date1997-12-25
dc.date.accessioned2026-07-07T05:57:48Z
dc.date.available2026-07-07T05:57:48Z
dc.descriptionWe study an action of the skew divided difference operators on the Schubert polynomials and give an explicit formula for structural constants for the Schubert polynomials in terms of certain weighted paths in the Bruhat order on the symmetric group. We also prove that, under certain assumptions, the skew divided difference operators transform Schubert polynomials into polynomials with positive integer coefficients.
dc.descriptionPlainTeX, 15 pages
dc.identifierhttps://arxiv.org/abs/q-alg/9712053
dc.identifierhttp://arxiv.org/abs/q-alg/9712053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88124
dc.subjectQuantum Algebra
dc.titleSkew divided difference operators and Schubert polynomials
dc.typetext

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