Tableau formulas for one-row macdonald polynomials of Types Cn and Dn

Boris Feigin, Ayumu Hoshino, Masatoshi Noumi, Jun Shibahara, Junichi Shiraishi

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

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.

Original languageEnglish
Article number100
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume11
DOIs
StatePublished - 5 Dec 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015, Institute of Mathematics. All rights reserved.

Keywords

  • Deformed W algebras
  • Macdonald polynomials

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