Some Plethystic Identites and Kostka-Foulkes polynomials

2012/12/04 by Mahir Bilen Can, Can, Mahir Bilen
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1212.0742

Abstract

We investigate the relationship between Kostka-Foulkes polynomials and certain symmetric functions that arise from Garsia and Haglund's study of the q,t-Catalan series.

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• Ubiquity of Kostka polynomials
• A q-Analog of Foulke's conjecture
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