The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials

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dc.contributor.authorKakei, S.
dc.contributor.authorNishizawa, M.
dc.contributor.authorSaito, Y.
dc.contributor.authorTakeyama, Y.
dc.date.accessioned2019-02-19T19:18:43Z
dc.date.available2019-02-19T19:18:43Z
dc.date.issued2009
dc.description.abstractWe construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra glN. The main ingredient is a special class of the shifted non-symmetric Jack polynomials. It may be regarded as a shifted version of the singular polynomials studied by Dunkl. We prove that our solutions contain those obtained as a scaling limit of matrix elements of the vertex operators of level one.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Dunkl Operators and Related Topics. Research of SK is supported by Grant-in-Aid for Scientific Research (C) No. 19540228. Research of MN is supported by Grant-in-Aid for Young Scientists (B) No. 18749001. Research of YS is supported by Grant-in-Aid for Scientific Research (C) No. 20540009. Research of YT is supported by Grant-in-Aid for Young Scientists (B) No. 20740088. The authors thank Takeshi Suzuki for helpful discussions. They are also deeply grateful to Charles Dunkl for valuable comments and pointing out an error in Section 4.2 of the earlier draft. YT thanks Takeshi Ikeda, Masahiro Kasatani and Hiroshi Naruse for discussions.uk_UA
dc.identifier.citationThe Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials / S. Kakei, M. Nishizawa, Y. Saito, Y. Takeyama // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 16 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 39A13; 33C52; 81R50
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149247
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleThe Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomialsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік