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Bethe subalgebras in Yangians and Kirillov-Reshetikhin crystals
Let $\mathfrak{g}$ be a simple finite-dimensional Lie algebra and $G$ its adjoint group. For each $C\in G$, we consider the Bethe subalgebra $B(C)\subset Y(\mathfrak{g})$, a commutative subalgebra encoding the integrals of the generalized $XXX$ spin chain. Adapting the construction of arXiv:1708.051
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