Quiver varieties, category O for rational Cherednik algebras, and Hecke algebras

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dc.creatorGordon, Iain
dc.date2007-03-06
dc.date.accessioned2026-07-07T07:50:26Z
dc.date.available2026-07-07T07:50:26Z
dc.descriptionWe relate the representations of the rational Cherednik algebras associated with the complex reflection group G(m,1,n) to sheaves on Nakajima quiver varieties associated with extended Dynkin gaphs via a Z-algebra construction. As the parameters defining the Cherednik algebra vary, the stability conditions defining the quiver variety change. We interpret the ordering on category O geometrically using this relationship; we also relate the geometry to the a-function for Hecke algebras with unequal parameters.
dc.identifierhttps://arxiv.org/abs/math/0703150
dc.identifierhttp://arxiv.org/abs/math/0703150
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125163
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.titleQuiver varieties, category O for rational Cherednik algebras, and Hecke algebras
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