論文

査読有り
2015年

Tableau Formulas for One-Row Macdonald Polynomials of Types C-n and D-n

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
  • Boris Feigin
  • ,
  • Ayumu Hoshino
  • ,
  • Masatoshi Noumi
  • ,
  • Jun Shibahara
  • ,
  • Jun'ichi Shiraishi

11
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
DOI
https://doi.org/10.3842/SIGMA.2015.100
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000366448800001&DestApp=WOS_CPL
ID情報
  • DOI : 10.3842/SIGMA.2015.100
  • ISSN : 1815-0659
  • Web of Science ID : WOS:000366448800001

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