Rook poset equivalence of Ferrers boards

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dc.creatorDevelin, Mike
dc.date2005-02-05
dc.date.accessioned2026-07-07T05:16:43Z
dc.date.available2026-07-07T05:16:43Z
dc.descriptionA natural construction due to K. Ding yields Schubert varieties from Ferrers boards. The poset structure of the Schubert cells in these varieties is equal to the poset of maximal rook placements on the Ferrers board under the Bruhat order. We determine when two Ferrers boards have isomorphic rook posets. Equivalently, we give an exact categorization of when two Ding Schubert varieties have identical Schubert cell structures. This also produces a complete classification of isomorphism types of lower intervals of 312-avoiding permutations in the Bruhat order.
dc.description14 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math/0502107
dc.identifierhttp://arxiv.org/abs/math/0502107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74090
dc.subjectCombinatorics
dc.subjectAlgebraic Geometry
dc.subject06A06; 14M15
dc.titleRook poset equivalence of Ferrers boards
dc.typetext

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