V. Tarasov

activity

19922023

most citedGeometry of q-Hypergeometric Functions as a Bridge between Yangians and Quantum Affine Algebras

91 citations · 871 across the 69 of their papers we have counts for

collaborators

Showing 2006Show all

4 papers · 1 filter

math.QA2006★ 39 cited

Off-shell Bethe vectors and Drinfeld currents

Sergey Khoroshkin, Stanislav Pakuliak, Vitaly Tarasov

In this paper we compare two constructions of weight functions (off-shell Bethe vectors) for the quantum affine algebra $U_{q} (gl^_{N})$ . The first construction comes f…

math.QA2006★ 3 cited

Bispectral and (gl_N, gl_M) Dualities, Discrete Versus Differential

E. Mukhin, V. Tarasov, A. Varchenko

Let $V =< x^{λ_{i}} p_{ij} (x), i = 1, ..., n, j = 1, ..., N_{i} >$ be a space of quasi-polynomials in $x$ of dimension $N = N_{1} + ... + N_{n}$ . The regularized fundamental differential operator of…

math.QA2006★ 52 cited

Bethe eigenvectors of higher transfer matrices

E. Mukhin, V. Tarasov, A. Varchenko

We consider the XXX-type and Gaudin quantum integrable models associated with the Lie algebra $g l_{N}$ . The models are defined on a tensor product irreducible $g l_{N}$ -modules. For eac…

math.CA2006★ 1 cited

Higher Lame Equations and Critical Points of Master Functions

E. Mukhin, V. Tarasov, A. Varchenko

Under certain conditions, we give an estimate from above on the number of differential equations of order $r + 1$ with prescribed regular singular points, prescribed exponents at sin…