4 problems

For a classical root system of type $D_N$, $B_N$, or $C_N$, let $M_{a,k}^{(G)}$ be the corresponding difference operators and let $\Pi_\lambda^{(G)}(q^{-1};\mathbf{x})$ be the dual…

Let $\mathcal{P}^{(n)}$ be defined by the recursion in, and let the $q$-deformed $\mathfrak{so}_{2n+1}$-Whittaker functions be those defined in Chapter. Recursion conjecture. The…

Let $n\geq1$, and let the deformed hyperoctahedral $q$-Whittaker function depend on the parameter $t_0$. Let $\mathcal{P}^{(n)}$ be the polynomial defined by the recursion in. Zero…

Let $q\in(0,1)$, and let $\mathcal{P}^{(n)}(a;q)$ be the Laurent polynomials defined recursively by the branching relation in the paper. Let the $q$-deformed $\mathfrak{so}_{2n+1}$…