On the Schur Positivity of $\Delta_{e_2} e_n[X]$

Electronic Journal Of Combinatorics

Qiu Dun¹ 

关键词: Schur positivity;    Macdonald polynomials;    Delta operator;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

Let $\mathbb{N}$ denote the set of non-negative integers. Haglund, Wilson, and the second author have conjectured that the coefficient of any Schur function $s_\lambda[X]$ in $\Delta_{e_k} e_n[X]$ is a polynomial in $\mathbb{N}[q,t]$. We present four proo

【 授权许可】

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