The gl_2 Bethe algebra associated with a nilpotent element
published by Svetlana Varchenko
in 2008
and research's language is
English
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Abstract in English
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.