3 problems

Let $\Phi^+$ be the set of positive roots of the type $A$ root system, let $\beta^\vee$ denote the coroot associated to $\beta$, and let $\psi_{\mathrm{Lam}}$ be the vector from th…

Let ${\mathfrak s}=\{s_1<\cdots<s_N\}$ and ${\mathfrak t}\subset{\mathfrak s}$ be sectors, and write ${\mathfrak s}\setminus{\mathfrak t}=\{s_{n_1},\dots,s_{n_u}\}$. Removing these…

Let ${\mathfrak s}=\{s_1<\cdots<s_N\}$ be a sector, let $n$ specify the species removed to form ${\mathfrak s}\setminus\{s_n\}$, and let $M_{\mathfrak s}$ and…