The combinatorics of orbital varieties closures of nilpotent order 2 in sl(n)

dc.creatorMelnikov, Anna
dc.date2003-12-17
dc.date2005-05-08
dc.date.accessioned2026-07-07T07:51:21Z
dc.date.available2026-07-07T07:51:21Z
dc.descriptionWe consider two partial orders on standard Young tableaux. The first one is induced from the weak right Bruhat order on symmetric group by Robinson-Schensted algorithm. The second one is induced from the order on Young diagrams by considering a Young tableau as a chain of Young diagrams. We show that these two orders of completely different nature coincide on the subset of Young tableaux with 2 columns or with 2 rows. This fact has very interesting geometric implications for orbital varieties of nilpotent order 2 in sl(n).
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0312332
dc.identifierhttp://arxiv.org/abs/math/0312332
dc.identifierElectronic Journal of Combinatorics, vol. 12(1), 2005, R21
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125480
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject05E10, 17B10
dc.titleThe combinatorics of orbital varieties closures of nilpotent order 2 in sl(n)
dc.typetext

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