From Double Hecke algebra to Fourier transform

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dc.creatorCherednik, Ivan
dc.creatorOstrik, Viktor
dc.date2001-11-12
dc.date2004-04-11
dc.date.accessioned2026-07-07T04:44:32Z
dc.date.available2026-07-07T04:44:32Z
dc.descriptionThe paper contains a systematic theory of the one-dimensional Double Hecke algebra, including applications to the difference Fourier transform, Macdonald's polynomials, Gaussian sums at roots of unity, and Verlinde algebras. The main result is the classification of finite-dimensional representations for generic q and at roots of unity.
dc.descriptionSections 8,9 are updated
dc.identifierhttps://arxiv.org/abs/math/0111130
dc.identifierhttp://arxiv.org/abs/math/0111130
dc.identifierSel. math., New Ser. 9 (2003), 161-249
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62625
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleFrom Double Hecke algebra to Fourier transform
dc.typetext

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