The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
Vernadsky National Library of Ukraine
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Title |
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
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Creator |
Kakei, S.
Nishizawa, M. Saito, Y. Takeyama, Y. |
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Description |
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.
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Date |
2019-02-19T19:18:43Z
2019-02-19T19:18:43Z 2009 |
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Type |
Article
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Identifier |
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.
1815-0659 2000 Mathematics Subject Classification: 39A13; 33C52; 81R50 http://dspace.nbuv.gov.ua/handle/123456789/149247 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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