483 citations · 1.7k across the 181 of their papers we have counts for
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Geometric crystals and set-theoretical solutions to the quantum Yang-Baxter equation
Pavel Etingof
The notion of a geometric crystal was introduced by A.Berenstein and D.Kazhdan, motivated by the needs of representation theory of p-adic groups. It was shown by A.Braverman, A.Ber…
On families of triangular Hopf algebras
Pavel Etingof, Shlomo Gelaki
Following the ideas of our previous works math.QA/0008232 (joint with Andruskiewitsch) and math.QA/0101049, we study families of triangular Hopf algebras obtained by twisting finit…
On the quasi-exponent of finite-dimensional Hopf algebras
Pavel Etingof, Shlomo Gelaki
Recall (math.QA/9812151) that the exponent of a finite-dimensional complex Hopf algebra H is the order of the Drinfeld element u of the Drinfeld double D(H) of H. Recall also that…
On twisting of finite-dimensional Hopf algebras
Eli Aljadeff, Pavel Etingof, Shlomo Gelaki +1
In this paper we study the properties of Drinfeld's twisting for finite-dimensional Hopf algebras. We determine how the integral of the dual to a unimodular Hopf algebra change…
Vertex-IRF transformations and quantization of dynamical r-matrices
Pavel Etingof, Dmitri Nikshych
Motivated by the correspondence between the vertex and IRF models in statistical mechanics, we define and study a notion of vertex-IRF transformation for dynamical twists that gene…
Dynamical twists in group algebras
Pavel Etingof, Dmitri Nikshych
We classify dynamical twists in group algebras of finite groups. Namely, we set up a bijective correspondence between gauge equivalence classes of dynamical twists (which are solut…