41 citations · 101 across the 6 of their papers we have counts for
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Yangian Algebras and Classical Riemann Problems
S. Khoroshkin, D. Lebedev, S. Pakuliak
We investigate different Hopf algebras associated to Yang's solution of quantum Yang-Baxter equation. It is shown that for the precise definition of the algebra one needs the commu…
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…
Central Extension of the Yangian Double
S. M. Khoroshkin
Central extension $\DYg$ of the Double of the Yangian is defined for a simple Lie algebra with complete proof for . Basic representations and intertwining…
Intertwining Operators for the Central Extension of the Yangian Double
S. Khoroshkin, D. Lebedev, S. Pakuliak
We continue the investigation of the central extended Yangian double [S. Khoroshkin, q-alg/9602031]. In this paper we study the intertwining operators for certain infinite dimensio…