Bases of Bethe Vectors and Difference Equations with Regular Singular Points
Abstract
We prove that Bethe vectors generically form a base in a tensor product of irreducible heighest weight gl2-modules or Uq(gl2)-modules. We apply this result to difference equations with regular singular points. We show that if such an equation has local solutionss at each of its singular point, then generically it has a polynomial solution.
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