91 citations · 871 across the 69 of their papers we have counts for
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math.AG2005★ 17 cited
The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz
E. Mukhin, V. Tarasov, A. Varchenko
We prove the B. and M. Shapiro conjecture that says that if the Wronskian of a set of polynomials has real roots only, then the complex span of this set of polynomials has a basis…
math.QA2005★ 10 cited
Bispectral and $(\glN,\glM)$ Dualities
E. Mukhin, V. Tarasov, A. Varchenko
Let $V = < p_{ij}(x)e^{\la_ix}, i=1,...,n, j=1, ..., N_i >$ be a space of quasi-polynomials of dimension . Define the regularized fundamental operator of as the…
math.QA2005
Irreducible highest-weight modules and equivariant quantization
E. Karolinsky, A. Stolin, V. Tarasov
We generalize the results of [KMST] concerning equivariant quantization by means of Verma modules for generic weight to the case of general . We consider the relation…