Degeneration of Bethe subalgebras in the Yangian of ${\mathfrak{gl}}_n$

Aleksei Ilin, Leonid Rybnikov

We study degenerations of Bethe subalgebras $B(C)$ in the Yangian $Y({\mathfrak{gl}}_n)$, where $C$ is a regular diagonal matrix. We show that closure of the parameter space of the f…