2 problems

Let $\mathfrak{g}$ be a simple Lie algebra, let $\lambda$ be a minuscule dominant weight, and let $w_0^J$ be the corresponding Weyl group element. Write $C_{\mathfrak{g}}$ for the…

Let $\delta_n$ denote the staircase shape, let $\operatorname{RPP}(\delta_{n+2k}/\delta_n)$ be the reverse plane partitions of the skew shape $\delta_{n+2k}/\delta_n$, and let…