Generating varieties for affine Grassmannians

dc.creatorLittig, Peter J.
dc.creatorMitchell, Stephen A.
dc.date2008-10-17
dc.date.accessioned2026-07-07T10:11:28Z
dc.date.available2026-07-07T10:11:28Z
dc.descriptionWe study the topological group structure (coming from loop multiplication) on an affine Grassmannian. In particular, we study finite-dimensional subvarieties that generate the homology ring. We show that there is a canonical family of generating Schubert varieties, namely those defined by the negative of the coroot associated to the highest root. These not only generate the homology, but generate the affine Grassmannian itself in a precise sense.
dc.identifierhttps://arxiv.org/abs/0810.3266
dc.identifierhttp://arxiv.org/abs/0810.3266
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171872
dc.subjectAlgebraic Topology
dc.subjectAlgebraic Geometry
dc.titleGenerating varieties for affine Grassmannians
dc.typetext

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