2 problems

Let $n,k\in\mathbb{N}$ with $k<n$, and let $\mathsf{LSQ}'(n)^{\bullet k}$ denote the partially labelled square paths with $k$ decorated valleys. For such a path $P$, let…

Let $n\geq1$, let $\mathsf{PSQ^E}(n)$ be the relevant set of square paths, and let $\delta(P)$ be the dinv reading word of $P$. Write $\mathsf{Des}(\delta(P))$ for its descent set…