3 problems

Let $\lambda$ and $\mu$ be partitions with $\mu\subseteq\lambda$, and let $f_{\lambda\setminus\mu,i}(q)$ denote the major-index generating polynomial for standard Young tableaux of…

Let ${\lambda}/{\mu}$ be a fixed skew partition and let ${\nu}$ be fixed. For each positive integer $k$, consider the stretched skew Kostka coefficient … Here…

Let ${\lambda}/{\mu}$ be a skew partition and let ${\nu}$ be fixed. For each positive integer $k$, write … Here $c_{k{\lambda}/k{\mu},k{\nu}}$ denotes the stretched skew coefficien…