Combinatorial Formulas for Macdonald and Hall-Littlewood Polynomials

A breakthrough in the theory of (type $A$) Macdonald polynomials is due to Haglund, Haiman and Loehr, who exhibited a combinatorial formula for these polynomials in terms of fillings of Young diagrams. Recently, Ram and Yip gave a formula for the Macdonald polynomials of arbitrary type in terms of t...

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Bibliographic Details
Main Author: Cristian Lenart
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2009-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2695/pdf