4 papers · 1 filter
Athinization of irreducible -modules with dominant highest weights
Mikhail Bershtein, Evgeny Mukhin, Leonid Rybnikov +1
We study the Gelfand-Tsetlin realization of generic Verma modules for the affine Lie algebra by viewing them as thin modules over the affine Yangian $Y(…
Bethe subalgebras in antidominantly shifted Yangians
Vasily Krylov, Leonid Rybnikov
The loop group of a simple complex Lie group has a natural Poisson structure. We introduce a natural family of Poisson commutative subalgebras $\overline{\mathbf{…
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 for arbitrary simple Lie algebra . This is the family of commutative subalgebras of ma…
Cactus flower spaces and monodromy of Bethe vectors
Joel Kamnitzer, Leonid Rybnikov
We continue the study of cactus flower moduli spaces and Gaudin models started in arXiv:2308.06880, arXiv:2407.06424. We show that isomorphism classes of operadic…