The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials

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dc.creatorKasatani, M.
dc.creatorTakeyama, Y.
dc.date2006-08-31
dc.date2007-04-06
dc.date.accessioned2026-07-07T07:55:24Z
dc.date.available2026-07-07T07:55:24Z
dc.descriptionWe construct special solutions of the quantum Knizhnik-Zamolodchikov equation on the tensor product of the vector representation of the quantum algebra of type A_{N-1}. They are constructed from non-symmetric Macdonald polynomials through the action of the affine Hecke algebra. As a special case the matrix element of the vertex operators of level one is reproduced.
dc.description17 pages, no figure; final version, we added the paper by Di Francesco and Zinn-Justin in references
dc.identifierhttps://arxiv.org/abs/math/0608773
dc.identifierhttp://arxiv.org/abs/math/0608773
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126954
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.subject39A13, 33C52, 81R50
dc.titleThe quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials
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