57 citations · 81 across the 22 of their papers we have counts for
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The Representation Theory of Co-triangular Semisimple Hopf Algebras
Pavel Etingof, Shlomo Gelaki
In a previous paper we prove that any semisimple triangular Hopf algebra A over an algebraically closed field of characteristic 0 (say the field of complex numbers C) is obtained f…
On the exponent of finite-dimensional Hopf algebras
Pavel Etingof, Shlomo Gelaki
One of the classical notions of group theory is the notion of the exponent of a group. The exponent of a group is the least common multiple of orders of its elements. In this paper…
A method of construction of finite-dimensional triangular semisimple Hopf algebras
Pavel Etingof, Shlomo Gelaki
The goal of this paper is to give a new method of constructing finite-dimensional semisimple triangular Hopf algebras, including minimal ones which are non-trivial (i.e. not group…
On Finite-Dimensional Semisimple and Cosemisimple Hopf Algebras in Positive Characteristic
Pavel Etingof, Shlomo Gelaki
Recently, important progress has been made in the study of finite-dimensional semisimple Hopf algebras over a field of characteristic zero. Yet, very little is known over a field o…
On Semisimple Hopf algebras of dimension pq
Shlomo Gelaki, Sara Westreich
In this paper we consider some properties of semisimple Hopf algebras of dimension pq where p and q are distinct primes. These properties are useful for classification of such Hopf…
On pointed Hopf algebras and Kaplansky's 10th conjecture
Shlomo Gelaki
In this paper we construct and study two new families of finite dimensional pointed Hopf algebras which generalize Radford's families. We show that over any infinite field which co…