2 problems

Let $T^{(1)}_{ij}[0]$ be the partial zero modes in a ${\rm GL}(N)$-invariant model. Bethe vectors and dual Bethe vectors are parametrized by sets $\bar t^k$ and cardinalities $a_k$…

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…