A Combinatorial Approach to the $q,t$-Symmetry Relation in Macdonald Polynomials

Electronic Journal Of Combinatorics

Maria Monks Gillespie¹ 

关键词: Macdonald polynomials;    Hall-Littlewood polynomials;    Young tableaux;    Cocharge;    Garsia-Procesi modules;    Mahonian statistics;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

Using the combinatorial formula for the transformed Macdonald polynomials of Haglund, Haiman, and Loehr, we investigate the combinatorics of the symmetry relation $\widetilde{H}_\mu(\mathbf{x};q,t)=\widetilde{H}_{\mu^\ast}(\mathbf{x};t,q)$. We provide a p

【 授权许可】

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