2015年
Tableau Formulas for One-Row Macdonald Polynomials of Types C-n and D-n
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
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- 巻
- 11
- 号
- 100
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.3842/SIGMA.2015.100
- 出版者・発行元
- NATL ACAD SCI UKRAINE, INST MATH
We present explicit formulas for the Macdonald polynomials of types C-n and D-n 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 W-12(11) 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.
- リンク情報
- ID情報
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- DOI : 10.3842/SIGMA.2015.100
- ISSN : 1815-0659
- Web of Science ID : WOS:000366448800001