Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products

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dc.creatorEtingof, Pavel
dc.creatorGan, Wee Liang
dc.creatorGinzburg, Victor
dc.creatorOblomkov, Alexei
dc.date2005-11-20
dc.date2005-11-26
dc.date.accessioned2026-07-07T06:51:29Z
dc.date.available2026-07-07T06:51:29Z
dc.descriptionThe main result of the paper is a natural construction of the spherical subalgebra in a symplectic reflection algebra associated with a wreath-product in terms of quantum hamiltonian reduction of an algebra of differential operators on a representation space of an extended Dynkin quiver. The existence of such a construction has been conjectured in [EG]. We also present a new approach to reflection functors and shift functors for generalized preprojective algebras and symplectic reflection algebras associated with wreath-products.
dc.descriptionIntroduction expanded
dc.identifierhttps://arxiv.org/abs/math/0511489
dc.identifierhttp://arxiv.org/abs/math/0511489
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105000
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleHarish-Chandra homomorphisms and symplectic reflection algebras for wreath-products
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