50 citations · 124 across the 31 of their papers we have counts for
10 papers · 1 filter
On complements and the factorization problem for Hopf algebras
Sebastian Burciu
Two new results concerning complements in a semisimple Hopf algebra are proved. They extend some well known results from group theory. The uniqueness of Krull Schmidt Remak type de…
Clifford theory for cocentral extensions
S. Burciu
The classical Clifford correspondence for normal subgroups is considered in the more general setting of semisimple Hopf algebras. We prove that this correspondence still holds if t…
On normal Hopf subalgebras of semisimple Hopf algebras
S. Burciu
A criterion for subcoalgebras to be invariant under the adjoint action is given generalizing Masuoka's criterion for normal Hopf subalgebras. At the level of characters, the image…
Depth Two Hopf Subalgebras of Semisimple Hopf algebras
Sebastian Burciu
Let H be a finite dimensional semisimple Hopf algebra over an algebraically closed field of characteristic zero. In this note we give a short proof of the fact that a Hopf subalgeb…
Coset decomposition for semisimple Hopf algebras
S. Burciu
The notion of double coset for semisimple finite dimensional Hopf algebras is introduced. This is done by considering an equivalence relation on the set of irreducible characters o…
A class of quantum doubles which are ribbon algebras
S. Burciu
Andruskiewitsch and Schneider classify a large class of pointed Hopf algebras with abelian coradical. The quantum double of each such Hopf algebra is investigated. The quantum doub…