167 citations · 1.9k across the 134 of their papers we have counts for
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Algebraic integrability of the two-body Ruijsenaars operator
Giovanni Felder, Alexander Varchenko
We study the algebra of difference operators that commute with the two-body Ruijsenaars operator, a -deformation of the Lamé differential operator, for generic values of the def…
Quantization of geometry associated to the quantized Knizhnik-Zamolodchikov equations
Alexander Varchenko
It is known that solutions of the Knizhnik-Zamolodchikov differential equations are given by integrals of closed differential forms over suitable cycles. In this paper a quantizati…
Solutions of the elliptic qKZB equations and Bethe ansatz I
Giovanni Felder, Alexander Varchenko, Vitaly Tarasov
We give an integral representation for solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations, in the case of sl(2). The result is based on a geometr…
Algebraic Bethe ansatz for the elliptic quantum group
Giovanni Felder, Alexander Varchenko
To each representation of the elliptic quantum group is associated a family of commuting transfer matrices. We give common eigenvectors by a version of the algebrai…
On representations of the elliptic quantum group
Giovanni Felder, Alexander Varchenko
We describe representation theory of the elliptic quantum group . It turns out that the representation theory is parallel to the representation theory of the Yangian…