64 citations · 155 across the 12 of their papers we have counts for
13 papers
Mathematical researches of D. P. Zhelobenko
Yu. Neretin, S. Khoroshkin
This is a brief overview of researches of Dmitry Petrovich Zhelobenko (1934--2006). He is the best known for his book "Compact Lie groups and their representations" and for the cla…
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…
Angular Quantization of the Sine-Gordon Model at the Free Fermion Point
S. Khoroshkin, A. LeClair, S. Pakuliak
The goal of this paper is to analyse the method of angular quantization for the Sine-Gordon model at the free fermion point, which is one of the most investigated models of the two…