57 citations · 285 across the 51 of their papers we have counts for
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An affine PI Hopf algebra not finite over a normal commutative Hopf subalgebra
Shlomo Gelaki, Edward S. Letzter
In formulating a generalized framework to study certain noncommutative algebras naturally arising in representation theory, K. A. Brown asked if every finitely generated Hopf algeb…
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…
Classification of Finite-Dimensional Triangular Hopf Algebras With The Chevalley Property
Pavel Etingof, Shlomo Gelaki
Recall that a triangular Hopf algebra A is said to have the Chevalley property if the tensor product of any two simple A-modules is semisimple, or, equivalently, if the radical of…