A non-crossing standard monomial theory

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dc.creatorPetersen, T. Kyle
dc.creatorPylyavskyy, Pavlo
dc.creatorSpeyer, David E
dc.date2008-06-11
dc.date.accessioned2026-07-07T09:43:41Z
dc.date.available2026-07-07T09:43:41Z
dc.descriptionThe second author has introduced non-crossing tableaux, objects whose non-nesting analogues are semi-standard Young tableaux. We relate non-crossing tableaux to Gelfand-Tsetlin patterns and develop the non-crossing analogue of standard monomial theory. Leclerc and Zelevinsky's weakly separated sets are special cases of non-crossing tableaux, and we suggest that non-crossing tableaux may help illuminate the theory of weakly separated sets.
dc.description23 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0806.1776
dc.identifierhttp://arxiv.org/abs/0806.1776
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162654
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.titleA non-crossing standard monomial theory
dc.typetext

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