The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
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 p...
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| Дата: | 2009 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149247 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149247 |
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irk-123456789-1492472019-02-20T01:27:52Z The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials Kakei, S. Nishizawa, M. Saito, Y. Takeyama, Y. 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. 2009 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Kakei, S. Nishizawa, M. Saito, Y. Takeyama, Y. |
| spellingShingle |
Kakei, S. Nishizawa, M. Saito, Y. Takeyama, Y. The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kakei, S. Nishizawa, M. Saito, Y. Takeyama, Y. |
| author_sort |
Kakei, S. |
| title |
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials |
| title_short |
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials |
| title_full |
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials |
| title_fullStr |
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials |
| title_full_unstemmed |
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials |
| title_sort |
rational qkz equation and shifted non-symmetric jack polynomials |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149247 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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