134 citations
- University of BucharestRO4 papers
- Universidad de GranadaES3 papers
- KU LeuvenBE2 papers
- University of AveiroPT2 papers
- University of KonstanzDE2 papers
- Vrije Universiteit BrusselBE2 papers
- ADA UniversityAZ1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)DE1 paper
- Georgia Institute of TechnologyUS1 paper
- Institut Charles SadronFR1 paper
- Istituto Nazionale per la Fisica della MateriaIT1 paper
6 papers · 1 filter
On the Hopf-Schur group of a field
Eli Aljadeff, Juan Cuadra, Shlomo Gelaki +1
Let k be any field. We consider the Hopf-Schur group of k, defined as the subgroup of the Brauer group of k consisting of classes that may be represented by homomorphic images of H…
Involutory quasi-Hopf algebras
D. Bulacu, S. Caenepeel, B. Torrecillas
We introduce and investigate the basic properties of an involutory (dual) quasi-Hopf algebra. We also study the representations of an involutory quasi-Hopf algebra and prove that a…
The representation-theoretic rank of the doubles of quasi-quantum groups
Daniel Bulacu, Blas Torrecillas
We compute the representation-theoretic rank of a finite dimensional quasi-Hopf algebra and of its quantum double , within the rigid braided category of finite dimensiona…
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…
Doi-Hopf modules and Yetter-Drinfeld modules for quasi-Hopf algebras
D. Bulacu, S. Caenepeel, B. Torrecillas
For a quasi-Hopf algebra , a left -comodule algebra $\mf{B}$ and a right -module coalgebra we will characterize the category of Doi-Hopf modules ${}^C{\cal M}(H)_{\mf{…
Factorizable quasi-Hopf algebras. Applications
Daniel Bulacu, Blas Torrecillas
We define the notion of factorizable quasi-Hopf algebra by using a categorical point of view. We show that the Drinfeld double of any finite dimensional quasi-Hopf algebra $…