11 citations · 11 across the 4 of their papers we have counts for
11 papers
Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras
Julien Bichon, Giovanna Carnovale
We propose a detailed systematic study of a group H^2_L(A) associated, by elementary means of lazy 2-cocycles, to any Hopf algebra A. This group was introduced by Schauenburg (with…
Galois and biGalois objects over monomial non semisimple Hopf algebras
Julien Bichon
We describe the Galois objects and biGalois groups of monomial nonsemisimple Hopf algebras. The main feature of our description is the use of modified versions of the second cohomo…
Free quantum analogues of the first fundamental theorems of invariant theory
Julien Bichon
We formulate and prove a free quantum analogue of the first fundamental theorems of invariant theory. More precisely, the polynomial functions algebras are replaced by free algebra…
Corepresentation theory of universal cosovereign Hopf algebras
Julien Bichon
We determine the corepresentation theory of universal cosovereign Hopf algebras, for generic matrices over an algebraically closed field of characteristic zero.
Hopf-Galois Systems
Julien Bichon
We introduce the concept of Hopf-Galois system, a reformulation of the notion of Galois extension of the base field for a Hopf algebra. The main feature of our definition is a gene…
Cosemisimple Hopf algebras with antipode of arbitrary finite order
Julien Bichon
We show that there exists cosemisimple Hopf algebras of arbitrary finite even order. We also discuss the Schur indicator for such Hopf algebras.