Symmetric and nonsymmetric Macdonald polynomials

Research output: Journal PublicationsJournal Article (refereed)

Abstract

The symmetric Macdonald polynomials may be constructed from the nonsymmetric Macdonald polynomials. This allows us to develop the theory of the symmetric Macdonald polynomials by first developing the theory of their nonsymmetric counterparts. In taking this approach we are able to obtain new results as well as simpler and more accessible derivations of a number of the known fundamental properties of both kinds of polynomials.
Original languageEnglish
Pages (from-to)385-415
Number of pages31
JournalAnnals of Combinatorics
Volume3
Issue number2-4
DOIs
Publication statusPublished - 1 Jun 1999
Externally publishedYes

Keywords

  • Hecke algebras
  • Macdonald polynomials
  • q-series

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