4 problems

Gorsky–Neguț conjecture. There exists an action, with certain properties, of the quantum affine algebra $U_{p^{1/2}}\big(\widehat{\mathfrak{gl}}_n\big)$ on $\mathcal{F}_u^{\sigma}$…

Let ${}_\mathbf A M(\boldsymbol a)$ be the $\mathbf A_T$-form of the Verma module generated by $|\boldsymbol a\rangle$, and let ${}_\mathbf A F(\boldsymbol a)$ be the $\mathbf A_T$…

Let ${\cal F}^{\otimes2}_n$ denote the level $n$ subspace of the tensor-product Fock module, and let ${}_a\langle n;\Xi;{\rm H}|$ be the level $n$ coefficients in the expansion of…

Let ${\cal F}_n$ be the level $n$ subspace of the Fock module ${\cal F}$, and let ${\cal P}_n$ be the space of order $n$ polynomials $p(\xi_1,\ldots,\xi_n|\eta_1,\ldots,\eta_n)$ wh…