Cherednik, Hecke and quantum algebras as free Frobenius and Calabi-Yau extensions

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dc.creatorBrown, K. A.
dc.creatorGordon, I. G.
dc.creatorStroppel, C. H.
dc.date2006-07-06
dc.date.accessioned2026-07-07T09:25:00Z
dc.date.available2026-07-07T09:25:00Z
dc.descriptionWe show how the existence of a PBW-basis and a large enough central subalgebra can be used to deduce that an algebra is Frobenius. This is done by considering the examples of rational Cherednik algebras, Hecke algebras, quantised universal enveloping algebras, quantum Borels and quantised function algebras. In particular, we give a positive answer to \cite[Problem 6]{Rouquier} stating that the restricted rational Cherednik algebra at the value $t=0$ is symmetric.
dc.identifierhttps://arxiv.org/abs/math/0607170
dc.identifierhttp://arxiv.org/abs/math/0607170
dc.identifierJournal of Algebra 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156266
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject16W35,20C08
dc.titleCherednik, Hecke and quantum algebras as free Frobenius and Calabi-Yau extensions
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