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math.QA2008

The gl_2 Bethe algebra associated with a nilpotent element

E. Mukhin, V. Tarasov, A. Varchenko

To any 2x2-matrix K one assigns a commutative subalgebra B^{K}\subset U(gl_2[t]) called a Bethe algebra. We describe relations between the Bethe algebras, associated with the zero…