Dynamical ${\mathfrak{sl}}_2$ Bethe algebra and functions on pairs of quasi-polynomials

A. Slinkin, D. Thompson, A. Varchenko

We consider the space ${\text{Fun}}_{{\mathfrak{sl}}_2}V[0]$ of functions on the Cartan subalgebra of ${\mathfrak{sl}}_2$ with values in the zero weight subspace $V[0]$ of a tensor product of ir…