483 citations · 1.7k across the 181 of their papers we have counts for
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From the Albert algebra to Kac's ten-dimensional Jordan superalgebra via tensor categories in characteristic 5
Alberto Elduque, Pavel Etingof, Arun S. Kannan
Kac's ten-dimensional simple Jordan superalgebra over a field of characteristic 5 is obtained from a process of semisimplification, via tensor categories, from the exceptional simp…
Frobenius-Perron dimensions of integral -rings and applications
Pavel Etingof
We introduce the notion of the Frobenius-Perron dimension of an integral -ring and give some applications of this notion to classification of finite dimensional quasi-Hop…
A PI degree theorem for quantum deformations
Pavel Etingof
Let be an algebraically closed field. We show that if a quantum formal deformation of a commutative domain over is a PI algebra, then is commutative if ${\rm…
Pointed Hopf actions on fields, II
Pavel Etingof, Chelsea Walton
This is a continuation of the authors' study of finite-dimensional pointed Hopf algebras H which act inner faithfully on commutative domains. As mentioned in Part I of this work, t…
Finite dimensional Hopf actions on Weyl algebras
Juan Cuadra, Pavel Etingof, Chelsea Walton
We prove that any action of a finite dimensional Hopf algebra H on a Weyl algebra A over an algebraically closed field of characteristic zero factors through a group action. In oth…
Finite dimensional Hopf actions on central division algebras
Juan Cuadra, Pavel Etingof
Let be an algebraically closed field of characteristic zero. Let be a division algebra of degree over its center . Assume that .…