Representations of rational Cherednik algebras of rank 1 in positive characteristic

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dc.creatorLatour, Frédéric
dc.date2003-07-31
dc.date.accessioned2026-07-07T04:59:58Z
dc.date.available2026-07-07T04:59:58Z
dc.descriptionIn this paper, we classify the irreducible representations of the rational Cherednik algebras of rank 1 in characteristic p > 0. There are two cases. One is the "quantum" case, where "Planck's constant" is nonzero and generic irreducible representations have dimension pr, where r is the order of the cyclic group contained in the algebra. The other is the "classical" case, where "Planck's constant" is zero and generic irreducible representations have dimension r.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0307390
dc.identifierhttp://arxiv.org/abs/math/0307390
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68208
dc.subjectRepresentation Theory
dc.titleRepresentations of rational Cherednik algebras of rank 1 in positive characteristic
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