Statistics for special q, t-kostka polynomials

Susanna Fishel

doi:10.1090/S0002-9939-1995-1264811-3

Statistics for special q, t-kostka polynomials

Susanna Fishel

Research output: Contribution to journal › Article › peer-review

18 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 language	English (US)
Pages (from-to)	2961-2969
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	123
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-1995-1264811-3
State	Published - Oct 1995
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1995-1264811-3

Cite this

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Statistics for special q, t-kostka polynomials

Abstract

ASJC Scopus subject areas

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