On quiver varieties and affine Grassmannians of type A

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dc.creatorMirković, Ivan
dc.creatorVybornov, Maxim
dc.date2002-06-09
dc.date2002-06-25
dc.date.accessioned2026-07-07T04:48:59Z
dc.date.available2026-07-07T04:48:59Z
dc.descriptionWe construct Nakajima's quiver varieties of type A in terms of affine Grassmannians of type A. This gives a compactification of quiver varieties and a decomposition of affine Grassmannians into a disjoint union of quiver varieties. Consequently, singularities of quiver varieties, nilpotent orbits and affine Grassmannians are the same in type A. The construction also provides a geometric framework for skew $(GL(m), GL(n))$ duality and identifies the natural basis of weight spaces in Nakajima's construction with the natural basis of multiplicity spaces in tensor products which arises from affine Grassmannians.
dc.description5 pages, section 3.3 added
dc.identifierhttps://arxiv.org/abs/math/0206084
dc.identifierhttp://arxiv.org/abs/math/0206084
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64261
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.titleOn quiver varieties and affine Grassmannians of type A
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