64 citations · 155 across the 12 of their papers we have counts for
6 papers · 1 filter
A computation of an universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)
S. Khoroshkin, S. Pakuliak
We compute an universal weight function (off-shell Bethe vectors) in any representation with a weight singular vector of the quantum affine algebra app…
Quiver -Modules and Homology of Local Systems over an Arrangement of Hyperplanes
S. Khoroshkin, A. Varchenko
Let be an arrangement of affine hyperplanes in a complex affine space , the ring of algebraic differential operators on . We define a category of quivers associated w…
Q-power function over Q-commuting variables and deformed XXX, XXZ chains
S. Khoroshkin, A. Stolin, V. Tolstoy
We find certain functional identities for the Gauss q-power function of a sum of q-commuting variables. Then we use these identities to obtain two-parameter twists of the quantum a…
Factorization of the Universal R-matrix for
J. Ding, S. Khoroshkin, S. Pakuliak
The factorization of the universal R-matrix corresponding to so called Drinfeld Hopf structure is described on the example of quantum affine algebra . As a result…
Weyl group extension of quantized current algebras
Jintai Ding, Sergei Khoroshkin
In this paper, we extend the Drinfeld current realization of quantum affine algebras and of the Yangians in several directions: we construct current operators for…
On the FRTS approach to quantized current algebras
Jintai Ding, Sergei Khoroshkin
We study the possibility to establish -operator's formalism by Faddeev-Reshetikhin-Takhtajan-Semenov-Tian-Shansky (FRST) for quantized current algebras, that is, for quantum aff…