Statistics for special q, t-kostka polynomials

Research output: Contribution to journalArticle

17 Scopus citations

Abstract

Kirillov and Reshetikhin introduced rigged configurations as a new way to calculate the entries of the Kostka matrix. Macdonald defined the two-parameter Kostka matrix whose entries generalize. We use rigged configurations and a formula of Stembridge to provide a combinatorial interpretation of in the case where is a partition with no more than two columns. In particular, we show that in this case, has nonnegative coefficients.

Original languageEnglish (US)
Pages (from-to)2961-2969
Number of pages9
JournalProceedings of the American Mathematical Society
Volume123
Issue number10
DOIs
StatePublished - Oct 1995
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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