Quantum analogues of Schubert varieties in the grassmannian

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dc.creatorLenagan, T H
dc.creatorRigal, L
dc.date2006-10-26
dc.date.accessioned2026-07-07T07:29:28Z
dc.date.available2026-07-07T07:29:28Z
dc.descriptionWe study quantum Schubert varieties from the point of view of regularity conditions. More precisely, we show that these rings are domains which are maximal orders and are AS-Cohen-Macaulay and we determine which of them are AS-Gorenstein. One key fact that enables us to prove these results is that quantum Schubert varieties are quantum graded algebras with a straightening law that have a unique minimal element in the defining poset. We prove a general result showing when such quantum graded algebras are maximal orders. Finally, we exploit these results to show that quantum determinantal rings are maximal orders.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0610794
dc.identifierhttp://arxiv.org/abs/math/0610794
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118121
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W35, 16P40, 16S38, 17B37, 20G42
dc.titleQuantum analogues of Schubert varieties in the grassmannian
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