Demazure crystals of generalized Verma modules and a flagged RSK correspondence

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dc.creatorKwon, Jae-Hoon
dc.date2008-10-31
dc.date.accessioned2026-07-07T10:14:34Z
dc.date.available2026-07-07T10:14:34Z
dc.descriptionWe prove that the Robinson-Schensted-Knuth correspondence is a $\gl_{\infty}$-crystal isomorphism between two realizations of the crystal graph of a generalized Verma module with respect to a maximal parabolic subalgebra of $\gl_{\infty}$. %This extends the previously known result that %the RSK correspondence is an isomorphism of bicrystals or double %crystals. A flagged version of the RSK correspondence is derived in a natural way by computing a Demazure crystal graph of a generalized Verma module. As an application, we discuss a relation between a Demazure crystal and plane partitions with a bounded condition.
dc.identifierhttps://arxiv.org/abs/0810.5652
dc.identifierhttp://arxiv.org/abs/0810.5652
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172922
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject17B37
dc.titleDemazure crystals of generalized Verma modules and a flagged RSK correspondence
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