Torus quotients of homogeneous spaces of the general linear group and the standard representation of certain symmetric groups

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dc.creatorKannan, S. S.
dc.creatorSardar, Pranab
dc.date2007-08-16
dc.date.accessioned2026-07-07T08:23:52Z
dc.date.available2026-07-07T08:23:52Z
dc.descriptionWe give a stratification of the GIT quotient of the Grassmannian $G_{2,n}$ modulo the normaliser of a maximal torus of $SL_{n}(k)$ with respect to the ample generator of the Picard group of $G_{2,n}$. We also prove that the flag variety $GL_{n}(k)/B_{n}$ can be obtained as a GIT quotient of $GL_{n+1}(k)/B_{n+1}$ modulo a maximal torus of $SL_{n+1}(k)$ for a suitable choice of an ample line bundle on $GL_{n+1}(k)/B_{n+1}$.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0708.2138
dc.identifierhttp://arxiv.org/abs/0708.2138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136151
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14Lxx
dc.titleTorus quotients of homogeneous spaces of the general linear group and the standard representation of certain symmetric groups
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