12 citations · 21 across the 4 of their papers we have counts for
6 papers
Intersections of Schubert varieties and highest weight vectors in tensor products of sl_{N+1}-representations
I. Scherbak
There is a correspondence between highest weight vectors in the tensor product of finite-dimensional irreducible sl(N+1)-modules marked by distinct complex numbers, on the one hand…
On Bethe vectors in the sl_{N+1} Gaudin model
S. Chmutov, I. Scherbak
The note deals with the Gaudin model associated with the tensor product of n irreducible finite-dimensional sl_{N+1}-modules marked by distinct complex numbers z_1,..., z_n. The Be…
Gaudin's model and the generating function of the Wronski map
I. Scherbak
We consider the Gaudin model associated to a point z in C^n with pairwise distinct coordinates and to the subspace of singular vectors of a given weight in the tensor product of ir…
A theorem of Heine-Stieltjes, the Wronski map, and Bethe vectors in the sl_p Gaudin model
I. Scherbak
Heine and Stieltjes in their studies of linear second-order differential equations with polynomial coefficients having a polynomial solution of a preassigned degree, discovered tha…
Rational functions with prescribed critical points
I. Scherbak
A rational function is the ratio of two complex polynomials in one variable without common roots. Its degree is the maximum of the degrees of the numerator and the denominator. Rat…
Critical points of functions, sl_2 representations, and Fuchsian differential equations with only univalued solutions
I. Scherbak, A. Varchenko
Let a second order Fuchsian differential equation with only univalued solutions have finite singular points at z_1, ..., z_n with exponents (a_1,b_1), ..., (a_n,b_n). Let the expon…