U-turn Alternating Sign Matrices, Symplectic Shifted Tableaux and Their Weighted Enumeration

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dc.creatorHamel, A. M.
dc.creatorKing, R. C.
dc.date2003-12-08
dc.date.accessioned2026-07-07T05:03:40Z
dc.date.available2026-07-07T05:03:40Z
dc.descriptionAlternating sign matrices with a U-turn boundary (UASMs) are a recent generalization of ordinary alternating sign matrices. Here we show that variations of these matrices are in bijective correspondence with certain symplectic shifted tableaux that were recently introduced in the context of a symplectic version of Tokuyama's deformation of Weyl's denominator formula. This bijection yields a formula for the weighted enumeration of UASMs. In this connection use is made of the link between UASMs and certain square ice configuration matrices.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0312169
dc.identifierhttp://arxiv.org/abs/math/0312169
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69514
dc.subjectCombinatorics
dc.subject05E10
dc.titleU-turn Alternating Sign Matrices, Symplectic Shifted Tableaux and Their Weighted Enumeration
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