83 citations · 326 across the 46 of their papers we have counts for
54 papers
Monoidal invariance of the cohomological dimension of Hopf algebras: the finite case
Julien Bichon
A consequence of the recent work of Ren and Zhu on Gorenstein projective dimensions of modules over Hopf algebras is that if and are Hopf algebras with bijective antipodes…
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…
Cohomological dimension of braided Hopf algebras
Julien Bichon, Thi Hoa Emilie Nguyen
We show that for a braided Hopf algebra in the category of comodules over a cosemisimple coquasitriangular Hopf algebra, the Hochschild cohomological dimension, the left and right…
Bialgebra cohomology and exact sequences
Julien Bichon
We show how the bialgebra cohomologies of two Hopf algebras involved in an exact sequence are related, when the third factor is finite-dimensional cosemisimple. As an application,…
Twisted separability for adjoint functors
Julien Bichon
Twisted separable functors generalize the separable functors of Nastasescu, Van den Bergh and Van Oystaeyen, and provide a convenient tool to compare various projective dimensions.…
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…