4 citations · 20 across the 16 of their papers we have counts for
16 papers
Existence of integral Hopf orders in twists of group algebras
Juan Cuadra, Ehud Meir
We find a group-theoretical condition under which a twist of a group algebra, in Movshev's way, admits an integral Hopf order. Let be a (large enough) number field with ring of…
Non-existence of integral Hopf orders for twists of several simple groups of Lie type
Giovanna Carnovale, Juan Cuadra, Elisabetta Masut
Let be a prime number and , with if and otherwise. Let be any non-trivial twist for the complex group algebra of ar…
Non-existence of Hopf orders for a twist of the alternating and symmetric groups
Juan Cuadra, Ehud Meir
We prove the non-existence of Hopf orders over number rings for two families of complex semisimple Hopf algebras. They are constructed as Drinfel'd twists of group algebras for the…
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 .…
Semisimple Hopf actions on Weyl algebras
Juan Cuadra, Pavel Etingof, Chelsea Walton
We study actions of semisimple Hopf algebras H on Weyl algebras A over a field of characteristic zero. We show that the action of H on A must factor through a group algebra; in oth…