160 citations · 499 across the 28 of their papers we have counts for
6 papers · 2 filters
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…
Morita base change in quantum groupoids
Peter Schauenburg
Let be a quantum semigroupoid, more precisely a -bialgebra in the sense of Takeuchi. We describe a procedure replacing the algebra by any Morita equivalent, or in…
Quotients of finite quasi-Hopf algebras
Peter Schauenburg
Let H be a finite-dimensional quasi-Hopf algebra. We show for each quotient quasibialgebra Q of H that Q is a quasi-Hopf algebra whose dimension divides the dimension of H.
Weak Hopf algebras and quantum groupoids
Peter Schauenburg
We give a detailed comparison between the notion of a weak Hopf algebra (also called a quantum groupoid by Nikshych and Vainerman), and that of a -bialgebra due to Takeuc…
A quasi-Hopf algebra freeness theorem
Peter Schauenburg
We prove the quasi-Hopf algebra version of the Nichols-Zoeller theorem: A finite-dimensional quasi-Hopf algebra is free over any quasi-Hopf subalgebra.