11 citations · 14 across the 3 of their papers we have counts for
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math.QA2005★ 11 cited
Multiple orthogonal polynomials and a counterexample to Gaudin Bethe Ansatz Conjecture
E. Mukhin, A. Varchenko
Jacobi polynomials are polynomials whose zeros form the unique solution of the Bethe Ansatz equation associated with two sl_2 irreducible modules. We study sequences of r polynomia…
math.QA2002
Solutions to the XXX type Bethe ansatz equations and flag varieties
E. Mukhin, A. Varchenko
We consider a version of the A_N Bethe equation of XXX type and introduce a reproduction procedure constructing new solutions of this equation from a given one. The set of all solu…
math.QA2002★ 3 cited
Critical points of master functions and flag varieties
E. Mukhin, A. Varchenko
We consider critical points of master functions associated with integral dominant weights of Kac-Moody algebras and introduce a generating procedure constructing new critical point…