3 citations · 7 across the 10 of their papers we have counts for
15 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…
On quasi-Hopf smash products and twisted tensor products of quasialgebras
Helena Albuquerque, Florin Panaite
We analyze some relations between quasi-Hopf smash products and certain twisted tensor products of quasialgebras. Along the way we obtain also some results of independent interest,…
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…
A structure theorem for quasi-Hopf comodule algebras
Florin Panaite, Freddy Van Oystaeyen
If H is a quasi-Hopf algebra and B is a right H-comodule algebra such that there exists v:H\to B a morphism of right H-comodule algebras, we prove that there exists a left H-module…