Hall-Littlewood Polynomials in terms of Yamanouchi words

This paper uses the theory of dual equivalence graphs to give explicit Schur expansions to several families of symmetric functions. We begin by giving a combinatorial definition of the modified Macdonald polynomials and modified Hall-Littlewood polynomials indexed by any diagram $δ ⊂ \mathbb{Z} \tim...

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Bibliographic Details

Published in:	Discrete Mathematics & Theoretical Computer Science
Main Author:	Austin Roberts
Format:	Article
Language:	English
Published:	Discrete Mathematics & Theoretical Computer Science 2014-01-01
Subjects:	dual equivalence graph hall-littlewood polynomials macdonald polynomials quasisymmetric functions symmetric functions [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-co] mathematics [math]/combinatorics [math.co]
Online Access:	https://dmtcs.episciences.org/2437/pdf