14 papers
Hopf algebra actions on strongly separable extensions of depth two
Lars Kadison, Dmitri Nikshych
We bring together ideas in analysis of Hopf *-algebra actions on II_1 subfactors of finite Jones index and algebraic characterizations of Frobenius, Galois and cleft Hopf extension…
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…
On the structure of weak Hopf algebras
Dmitri Nikshych
We study the group of group-like elements of a weak Hopf algebra and derive an analogue of Radford's formula for the fourth power of the antipode S, which implies that the antipode…
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…
Frobenius extensions and weak Hopf algebras
Lars Kadison, Dmitri Nikshych
We study a symmetric Markov extension of k-algebras N \into M, a certain kind of Frobenius extension with conditional expectation that is tracial on the centralizer and dual bases…
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…