Spectra of Bethe subalgebras of $Y({\mathfrak{gl}}_n)$ in tame representations

Aleksei Ilin, Inna Mashanova-Golikova, Leonid Rybnikov

We study the eigenproblem for Bethe subalgebras of the Yangian $Y({\mathfrak{gl}}_n)$ in tame representations, i.e. in finite dimensional representations which admit Gelfand-Tsetlin…