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dc.contributor.authorLam, Thomas
dc.contributor.authorWilliams, Lauren
dc.date.accessioned2009-04-18T02:38:01Z
dc.date.issued2008
dc.identifier.citationLam, Thomas, and Lauren Williams. 2008. Total positivity for cominuscule Grassmannians. New York Journal of Mathematics 14.en
dc.identifier.issn1076-9803en
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:2796935
dc.description.abstractIn this paper we explore the combinatorics of the non-negative part (G/P)+ of a cominuscule Grassmannian. For each such Grassmannian we define Le-diagrams -- certain fillings of generalized Young diagrams which are in bijection with the cells of (G/P)+. In the classical cases, we describe Le-diagrams explicitly in terms of pattern avoidance. We also define a game on diagrams, by which one can reduce an arbitrary diagram to a Le-diagram. We give enumerative results and relate our Le-diagrams to other combinatorial objects. Surprisingly, the totally non-negative cells in the open Schubert cell of the odd and even orthogonal Grassmannians are (essentially) in bijection with preference functions and atomic preference functions respectively.en
dc.description.sponsorshipMathematicsen
dc.language.isoen_USen
dc.publisherSUNY Albanyen
dc.relation.hasversionhttp://arxiv.org/abs/0710.2932en
dash.licenseLAA
dc.titleTotal positivity for cominuscule Grassmanniansen
dc.relation.journalNew York Journal of Mathematicsen
dash.depositing.authorLam, Thomas
dash.contributor.affiliatedWilliams, Lauren
dash.contributor.affiliatedLam, Thomas


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