8 citations · 24 across the 12 of their papers we have counts for
7 papers · 1 filter
Pseudo-Galois Extensions and Hopf Algebroids
Lars Kadison
A pseudo-Galois extension is shown to be a depth two extension. Studying its left bialgebroid, we construct an enveloping Hopf algebroid for the semi-direct product of groups, or m…
The Endomorphism Ring Theorem for Galois and D2 extensions
Lars Kadison
Let be the left bialgebroid $\End {}_BA_B$ over the centralizer of a right D2 algebra extension , which is to say that its tensor-square is isomorphic as --bi…
Galois theory for bialgebroids, depth two and normal Hopf subalgebras
Lars Kadison
We reduce certain proofs in math.RA/0108067, math.RA/0408155, and math.QA/0409589 to depth two quasibases from one side only, a minimalistic approach which leads to a characterizat…
Normal Hopf subalgebras, depth two and Galois extensions
Lars Kadison
Let be the left -bialgebroid of a depth two extension with centralizer as defined in math.QA/0108067. We show that the left endomorphism ring of depth two extension, not…
Hopf algebroids and Galois extensions
Lars Kadison
To a finite Hopf-Galois extension we associate dual bialgebroids $S := \End_BA_B$ and over the centralizer using the depth two theory in math.RA/0108…
An action-free characterization of weak Hopf-Galois extensions
Lars Kadison
We define comodule algebras and Galois extensions for actions of bialgebroids. Using just module conditions we characterize the Frobenius extensions that are Galois as depth two an…