On elliptic Dunkl operators

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dc.creatorEtingof, Pavel
dc.creatorMa, Xiaoguang
dc.date2007-06-14
dc.date.accessioned2026-07-07T08:10:10Z
dc.date.available2026-07-07T08:10:10Z
dc.descriptionWe attach elliptic Dunkl operators to an abelian variety with a finite group action. This generalizes elliptic Dunkl operators for Weyl groups, defined by Buchstaber, Felder, and Veselov in 1994. We show that these operators commute, and use them to define representations from category O of elliptic Cherednik algebras. We also consider the monodromy representations of differential equations defined by elliptic Dunkl operators, and show that they yield finite dimensional rrepresentations of generalized double affine Hecke algebras.
dc.description9 pages, latex
dc.identifierhttps://arxiv.org/abs/0706.2152
dc.identifierhttp://arxiv.org/abs/0706.2152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131755
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleOn elliptic Dunkl operators
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