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

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Showing 2006 · math.QAShow all

3 papers · 2 filters

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…