Tableau Formulas for One-Row Macdonald Polynomials of Types Cn and Dn
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Tableau Formulas for One-Row Macdonald Polynomials of Types Cn and Dn
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| Creator |
Feigin, B.
Hoshino, A. Noumi, M. Shibahara, J. Shiraishi, J. |
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| Description |
We present explicit formulas for the Macdonald polynomials of types Cn and Dn in the one-row case. In view of the combinatorial structure, we call them ''tableau formulas''. For the construction of the tableau formulas, we apply some transformation formulas for the basic hypergeometric series involving very well-poised balanced ₁₂W₁₁ series. We remark that the correlation functions of the deformed W algebra generators automatically give rise to the tableau formulas when we principally specialize the coordinate variables.
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| Date |
2019-02-13T17:59:37Z
2019-02-13T17:59:37Z 2015 |
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| Type |
Article
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| Identifier |
Tableau Formulas for One-Row Macdonald Polynomials of Types Cn and Dn / B. Feigin, A. Hoshino, M. Noumi, J. Shibahara, J. Shiraishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 14 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 33D52; 33D80 DOI:10.3842/SIGMA.2015.100 http://dspace.nbuv.gov.ua/handle/123456789/147163 |
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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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