2 papers
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…
math.QA2007
Bethe Algebra of Homogeneous XXX Heisenberg Model Has Simple Spectrum
E. Mukhin, V. Tarasov, A. Varchenko
We show that the algebra of commuting Hamiltonians of the homogeneous XXX Heisenberg model has simple spectrum on the subspace of singular vectors of the tensor product of two-dime…