Microlocalization of rational Cherednik algebras

Simple item page
dc.creatorKashiwara, Masaki
dc.creatorRouquier, Raphael
dc.date2007-05-09
dc.date2007-10-08
dc.date.accessioned2026-07-07T08:34:15Z
dc.date.available2026-07-07T08:34:15Z
dc.descriptionWe construct a microlocalization of the rational Cherednik algebras $H$ of type $S_n$. This is achieved by a quantization of the Hilbert scheme $\Hilb^n\C^2$ of $n$ points in $\C^2$. We then prove the equivalence of the category of $H$-modules and the one of modules over its microlocalization under certain conditions on the parameter.
dc.description36 pages, minor corrections, to appear in Duke Math. Journal
dc.identifierhttps://arxiv.org/abs/0705.1245
dc.identifierhttp://arxiv.org/abs/0705.1245
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139372
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.subject16G89, 53D55; 14C05
dc.titleMicrolocalization of rational Cherednik algebras
dc.typetext

Files

Collections

arXiv