137 citations · 417 across the 29 of their papers we have counts for
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Weight function for the quantum affine algebra
Sergey Khoroshkin, Alexander Shapiro
In this article, we give an explicit formula for the universal weight function of the quantum twisted affine algebra . The calculations use the technique of project…
Generating Series for Nested Bethe Vectors
Sergey Khoroshkin, Stanislav Pakuliak
We reformulate nested relations between off-shell Bethe vectors as a certain equation on generating series of strings of the composed $U_q(\widehat…
Bethe Ansatz for the Universal Weight Function
L. Frappat, S. Khoroshkin, S. Pakuliak +1
We consider universal off-shell Bethe vectors given in terms of Drinfeld realization of the algebra [arXiv:math/0610517,arXiv:0711.2819]. We investigate order…
On Some Lie Bialgebra Structures on Polynomial Algebras and their Quantization
S. M. Khoroshkin, I. I. Pop, M. E. Samsonov +2
We study classical twists of Lie bialgebra structures on the polynomial current algebra , where is a simple complex finite-dimensional Lie algebra.…
Weight functions and Drinfeld currents
Benjamin Enriquez, Sergey Khoroshkin, Stanislav Pakuliak
A universal weight function for a quantum affine algebra is a family of functions with values in a quotient of its Borel subalgebra, satisfying certain coalgebraic properties. In r…
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 . The first construction comes f…