Polynomial solutions of the Knizhnik-Zamolodchikov equations and Schur-Weyl duality

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dc.creatorFelder, Giovanni
dc.creatorVeselov, Alexander P.
dc.date2006-10-11
dc.date2006-11-03
dc.date.accessioned2026-07-07T08:56:57Z
dc.date.available2026-07-07T08:56:57Z
dc.descriptionAn integral formula for the solutions of Knizhnik-Zamolodchikov (KZ) equation with values in an arbitrary irreducible representation of the symmetric group S_N is presented for integer values of the parameter. The corresponding integrals can be computed effectively as certain iterated residues determined by a given Young diagram and give polynomials with integer coefficients. The derivation is based on Schur-Weyl duality and the results of Matsuo on the original SU(n) KZ equation. The duality between the spaces of solutions with parameters m and -m is discussed in relation with the intersection pairing in the corresponding homology groups.
dc.description14 pages, reference added
dc.identifierhttps://arxiv.org/abs/math/0610383
dc.identifierhttp://arxiv.org/abs/math/0610383
dc.identifierInt. Math. Res. Not. IMRN 2007, no. 15, Art. ID rnm046
dc.identifierdoi:10.1093/imrn/rnm0046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146796
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject05E10; 33C70
dc.titlePolynomial solutions of the Knizhnik-Zamolodchikov equations and Schur-Weyl duality
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