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The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials

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dc.contributor.author Kakei, S.
dc.contributor.author Nishizawa, M.
dc.contributor.author Saito, Y.
dc.contributor.author Takeyama, Y.
dc.date.accessioned 2019-02-19T19:18:43Z
dc.date.available 2019-02-19T19:18:43Z
dc.date.issued 2009
dc.identifier.citation The 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.issn 1815-0659
dc.identifier.other 2000 Mathematics Subject Classification: 39A13; 33C52; 81R50
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/149247
dc.description.abstract We 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.sponsorship This 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.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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