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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
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{…