Bethe Algebra of Homogeneous Xxx Heisenberg Model Has Simple Spectrum

  • 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-dimensional gl 2-modules. As a byproduct we show that there exist exactly n l − n l−1 two-dimensional vector subspaces V ⊂ C[u] with a basis f, g ∈ V such that deg f = l, deg g = n… CONTINUE READING