3 citations · 9 across the 22 of their papers we have counts for
9 papers · 1 filter
Quasi-elementary H-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules
Florin Panaite, Freddy Van Oystaeyen
Let H be a Hopf algebra with bijective antipode, let α, βbe two Hopf algebra automorphisms of H and M a finite dimensional (α, β)-Yetter-Drinfeld module. We prove that End(M) endow…
L-R-smash biproducts, double biproducts and a braided category of Yetter-Drinfeld-Long bimodules
Florin Panaite, Freddy Van Oystaeyen
Let H be a bialgebra and D an H-bimodule algebra H-bicomodule coalgebra. We find sufficient conditions on D for the L-R-smash product algebra and coalgebra structures on D\otimes H…
Pseudosymmetric braidings, twines and twisted algebras
Florin Panaite, Mihai D. Staic, Freddy Van Oystaeyen
A laycle is the categorical analogue of a lazy cocycle. Twines (as introduced by Bruguieres) and strong twines (as introduced by the authors) are laycles satisfying some extra cond…
Unramified reductors of filtered and graded algebras
Cornel Baetica, Freddy Van Oystaeyen
It is a fairly known fact that most of the algebras appearing in the theory of rings of differential operators, quantized algebras of different kinds (including many quantum groups…
On some classes of lazy cocycles and categorical structures
Florin Panaite, Mihai D. Staic, Freddy Van Oystaeyen
We study some classes of lazy cocycles, called pure (respectively neat), together with their categorical counterparts, entwined (respectively strongly entwined) monoidal categories…
Some bialgebroids constructed by Kadison and Connes-Moscovici are isomorphic
Florin Panaite, Freddy Van Oystaeyen
We prove that a certain bialgebroid introduced recently by Kadison is isomorphic to a bialgebroid introduced earlier by Connes and Moscovici. At the level of total algebras, the is…