21 citations · 49 across the 5 of their papers we have counts for
5 papers
Weight function for the quantum affine algebra
Sergey Khoroshkin, Stanislav Pakuliak
We give a precise expression for the universal weight function of the quantum affine algebra . The calculations use the technique of projecting products of Drinfel…
Integral Presentations for the Universal R-matrix
J. Ding, S. Khoroshkin, S. Pakuliak
We present an integral formula for the universal R-matrix of quantum affine algebra with 'Drinfeld comultiplication'. We show that the properties of the universal R-matrix follow f…
Classical Limit of the Scaled Elliptic Algebra
S. Khoroshkin, D. Lebedev, S. Pakuliak +2
The classical limit of the scaled elliptic algebra is investigated. The limiting Lie algebra is described in two equivalent ways: as a central extension of the…
Elliptic algebra in the scaling limit
S. Khoroshkin, D. Lebedev, S. Pakuliak
The scaling limit of the elliptic algebra is investigated. The limiting algebra is defined in terms of a continuous family of genera…
Traces of Intertwining Operators for the Yangian Double
S. Khoroshkin, D. Lebedev, S. Pakuliak
The traces over infinite dimensional representations of the central extended Yangian double for the product of operators which intertwine these representations are calculated. For…