92 citations
- Czech Academy of Sciences, Institute of MathematicsCZ5 papers
- University of AntwerpBE3 papers
- Northeastern UniversityUS2 papers
- École Polytechnique Fédérale de LausanneCH1 paper
- Georgia State UniversityUS1 paper
- Hôpital Émile-RouxFR1 paper
- Institute of Mathematics and InformaticsBG1 paper
- Max Planck Institute for Nuclear PhysicsDE1 paper
- University at Buffalo, State University of New YorkUS1 paper
- University of AlmeríaES1 paper
- University of Illinois Urbana-ChampaignUS1 paper
- University of UtahUS1 paper
6 papers · 1 filter
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…
L-R-smash product for (quasi) Hopf algebras
Florin Panaite, Freddy Van Oystaeyen
We introduce a more general version of the so-called L-R-smash product and study its relations with other kinds of crossed products (two-sided smash and crossed product and diagona…
Generalized (anti) Yetter-Drinfeld modules as components of a braided T-category
Florin Panaite, Mihai D. Staic
If H is a Hopf algebra with bijective antipode and α, β\in Aut_{Hopf}(H), we introduce a category_H{\cal YD}^H(α, β), generalizing both Yetter-Drinfeld and anti-Yetter-Drinfeld mod…
Extending lazy 2-cocycles on Hopf algebras and lifting projective representations afforded by them
Juan Cuadra, Florin Panaite
We study some problems related to lazy 2-cocycles, such as: extension of (lazy) 2-cocycles to a Drinfeld double and to a Radford biproduct, Yetter-Drinfeld data obtained from lazy…
On the structure of quantum permutation groups
Teodor Banica, Sergiu Moroianu
The quantum permutation group of the set corresponds to the Hopf algebra . This is an algebra constructed with generators and relations, known to b…