A. Ilin

activity

20172025

most citedBethe subalgebras in Yangians and the wonderful compactification

9 citations · 10 across the 7 of their papers we have counts for

collaborators

Showing math.QAShow all

3 papers · 1 filter

math.QA2020

On classical limits of Bethe subalgebras in Yangians

Aleksei Ilin, Leonid Rybnikov

The Yangian $Y (g)$ of a simple Lie algebra $g$ can be regarded as a deformation of two different Hopf algebras: the universal enveloping algebra $U(\mathfrak{…

math.QA2018★ 9 cited

Bethe subalgebras in Yangians and the wonderful compactification

Aleksei Ilin, Leonid Rybnikov

We study the family of Bethe subalgebras in the Yangian $Y (g)$ parameterized by the corresponding adjoint Lie group $G$ . We describe their classical limits as subalgebra…

math.QA2017

Degeneration of Bethe subalgebras in the Yangian of $gl_{n}$

Aleksei Ilin, Leonid Rybnikov

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

On classical limits of Bethe subalgebras in Yangians

Bethe subalgebras in Yangians and the wonderful compactification

Degeneration of Bethe subalgebras in the Yangian of gln​

Degeneration of Bethe subalgebras in the Yangian of $gl_{n}$