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

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2 papers · 1 filter

math.RT2024

Gaudin models and moduli space of flower curves

Aleksei Ilin, Joel Kamnitzer, Leonid Rybnikov

We introduce and study the family of trigonometric Gaudin subalgebras in $U g^{\otimes n}$ for arbitrary simple Lie algebra $g$ . This is the family of commutative subalgebras of ma…

math.RT2021★ 1 cited

Spectra of Bethe subalgebras of $Y (gl_{n})$ in tame representations

Aleksei Ilin, Inna Mashanova-Golikova, Leonid Rybnikov

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

Gaudin models and moduli space of flower curves

Spectra of Bethe subalgebras of Y(gln​) in tame representations

Spectra of Bethe subalgebras of $Y (gl_{n})$ in tame representations