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math.RT2022
Bethe subalgebras in Yangians and Kirillov-Reshetikhin crystals
Vasily Krylov, Inna Mashanova-Golikova, Leonid Rybnikov
Let be a simple finite-dimensional Lie algebra and its adjoint group. For each , we consider the Bethe subalgebra , a commut…
math.RT2022
Subregular nilpotent orbits and explicit character formulas for modules over affine Lie algebras
Roman Bezrukavnikov, Victor Kac, Vasily Krylov
Let be a simple finite dimensional complex Lie algebra and let be the corresponding affine Lie algebra. Kac and Wakimoto observed that in so…
math.RT2022
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{…