83 citations
- Institute of Rural Management AnandIN21 papers
- Centre National de la Recherche ScientifiqueFR14 papers
- Laboratoire de Mathématiques Raphaël SalemFR3 papers
- Laboratoire de Mathématiques Blaise PascalFR2 papers
- Laboratoire de Mathématiques d'OrsayFR2 papers
- Roma Tre UniversityIT2 papers
- Université de StrasbourgFR2 papers
- University of Rome Tor VergataIT2 papers
- Christian-Albrechts-Universität zu KielDE1 paper
- Czech Academy of Sciences, Institute of MathematicsCZ1 paper
- École Polytechnique Fédérale de LausanneCH1 paper
- Friedrich-Alexander-Universität Erlangen-NürnbergDE1 paper
5 papers · 1 filter
A cohomological construction of quantization functors of Lie bialgebras
B. Enriquez
We propose a variant to the Etingof-Kazhdan construction of quantization functors. We construct the twistor J_Φassociated to an associator Φusing cohomological techniques. We then…
Yetter-Drinfeld modules for Turaev crossed structures
Marco Zunino
We provide an analog of the Joyal-Street center construction and of the Kassel-Turaev categorical quantum double in the context of the crossed categories introduced by Turaev. Then…
Parametrized braid groups of Chevalley groups
Jean-Louis Loday, Michael R. Stein
We introduce the notion of a braid group parametrized by a ring, which is defined by generators and relations and based on the geometric idea of painted braids. We show that the pa…
Poisson algebras associated to quasi-Hopf algebras
B. Enriquez, G. Halbout
We define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by h-adic valuation conditions. We show that any QHQUE algebra is twist-equivalent to an admissible…
Quantizations of Hitchin and Beauville-Mukai integrable systems
B. Enriquez, V. Rubtsov
Spectral transformation is known to set up a birational morphism between the Hitchin and Beauville-Mukai integrable systems. The corresponding phase spaces are: (a) the cotangent b…