Tail Positive Words and Generalized Coinvariant Algebras

[摘要] Let $n,k,$ and $r$ be nonnegative integers and let $S_n$ be the symmetric group. We introduce a quotient $R_{n,k,r}$ of the polynomial ring $\mathbb{Q}[x_1, \dots, x_n]$ in $n$ variables which carries the structure of a graded $S_n$-module.  When $r \ge n

[学科分类] 离散数学和组合数学

[关键词] Symmetric function;Coinvariant algebra