10 citations · 22 across the 6 of their papers we have counts for
10 papers · 1 filter
Hopf Powers and Orders for Some Bismash Products
Rachel Landers, Susan Montgomery, Peter Schauenburg
The Hopf order of an element of a Hopf algebra is the least such that the -th Hopf power of is trivial. For some bismash product Hopf algebras obtained from fact…
On Generalized Hopf Galois Extensions
P. Schauenburg, H. -J. Schneider
We investigate criteria for algebra extensions that are of Galois type with respect to the coaction of a Hopf algebra or, more generally, a one-sided quotient of a Hopf algebra, or…
On the Frobenius-Schur indicators for quasi-Hopf algebras
Peter Schauenburg
Mason and Ng have given a generalization to semisimple quasi-Hopf algebras of Linchenko and Montgomery's generalization to semisimple Hopf algebras of the classical Frobenius-Schur…
Quantum torsors with fewer axioms
Peter Schauenburg
We give a definition of a noncommutative torsor by a subset of the axioms previously given by Grunspan. We show that noncommutative torsors are an equivalent description of Hopf-Ga…
Quantum torsors and Hopf-Galois objects
Peter Schauenburg
We prove that every faithfully flat Hopf-Galois object is a quantum torsor in the sense of Grunspan.
Two characterizations of finite quasi-Hopf algebras
Peter Schauenburg
Let H be a finite-dimensional quasibialgebra. We show that H is a quasi-Hopf algebra if and only if the category of its finite-dimensional left modules is rigid if and only if a st…