The gl₂ Bethe algebra associated with a nilpotent element
classification
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bethealgebraassociatedmatrixnilpotentalgebrasassignscalled
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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 matrix and a nilpotent matrix.
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