4 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…
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…
Hopf-Galois objects over bicrossed product Hopf algebras and twisting maps
Julien Bichon, AgustÃn GarcÃa
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…