83 citations · 326 across the 46 of their papers we have counts for
41 papers · 1 filter
Hopf-Galois objects over bicrossed product Hopf algebras and twisting maps
Julien Bichon, Agustín García
We describe Hopf-Galois objects over bicrossed product Hopf algebras. More precisely, we show that any right Hopf-Galois object over a bicrossed product of Hopf algebras is obtaine…
Faithful flatness of Hopf algebras over coideal subalgebras with a bimodule conditional expectation
Julien Bichon
We give a direct and self-contained proof that if is a Hopf algebra and is a right coideal subalgebra such is a direct summand in as an -bimodule, then…
Some isomorphism results for graded twistings of function algebras on finite groups
Julien Bichon, Maeva Paradis
We provide isomorphism results for Hopf algebras that are obtained as graded twistings of function algebras on finite groups by cocentral actions of cyclic groups. More generally ,…
Hopf-Galois structures on ambiskew polynomial rings
Julien Bichon, Agustín García Iglesias
We provide necessary and sufficient conditions to extend the Hopf-Galois algebra structure on an algebra R to a generalized ambiskew ring based on R, in a way such that the added v…
Homological properties of quantum permutation algebras
Julien Bichon, Uwe Franz, Malte Gerhold
We show that , the coordinate algebra of Wang's quantum permutation group, is Calabi-Yau of dimension when , and compute its Hochschild cohomology with trivial…
Complex analogues of the half-classical geometry
Teodor Banica, Julien Bichon
Under very strong axioms, there is precisely one real noncommutative geometry between the classical one and the free one, namely the half-classical one, coming from the relations $…