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The gl_2 Bethe algebra associated with a nilpotent element

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 Added by Svetlana Varchenko
 Publication date 2008
  fields
and research's language is English




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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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