4 papers
Finitary Galois extensions over noncommutative bases
I. Balint, K. Szlachanyi
We study Galois extensions Coinv(M)<M for M an H-comodule algebra and H a Frobenius Hopf algebroid. We obtain generalizations of various theorems in Hopf-Galois theory by Kreimer-T…
Monoidal Morita equivalence
K. Szlachanyi
The monoidal version of classical Morita theory is a theory of bialgebroids. To make this explicit we construct a bicategory the objects of which are the bialgebroids and in which…
The double algebraic view of finite quantum groupoids
Kornel Szlachanyi
This is an introduction to double algebras which is the structure modelled by the properties of the convolution product in Hopf algebras, weak Hopf algebras and in Hopf algebroids.…
Hopf algebroids with bijective antipodes: axioms, integrals and duals
Gabriella B"ohm, Korn'el Szlach'anyi
Motivated by the study of depth 2 Frobenius extensions we introduce a new notion of Hopf algebroid. It is a 2-sided bialgebroid with a bijective antipode which connects the two, le…