Geodesic
Quantization of coboundary Lie bialgebras
Benjamin Enriquez1 ; Gilles Halbout2
1 IRMA (CNRS) - Département de Mathématiques<br/>Université de Strasbourg<br/>7, rue R. Descartes<br/>F-67 084 Strasbourg<br/>France
2 Département de Mathématiques<br/>Université de Montpellier 2<br/>CC 5149, Place Eugène Bataillon F-34095 Montpellier<br/>France
Annals of mathematics, Tome 171 (2010) no. 2, pp. 1267-1345.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We show that any coboundary Lie bialgebra can be quantized. For this, we prove that Etingof-Kazhdan quantization functors are compatible with Lie bialgebra twists, and if such a quantization functor corresponds to an even associator, then it is also compatible with the operation of taking coopposites. We also use the relation between the Etingof-Kazhdan construction of quantization functors and the alternative approach to this problem, which was established in a previous work.
DOI : 10.4007/annals.2010.171.1267

Benjamin Enriquez 1 ; Gilles Halbout 2

1 IRMA (CNRS) - Département de Mathématiques<br/>Université de Strasbourg<br/>7, rue R. Descartes<br/>F-67 084 Strasbourg<br/>France
2 Département de Mathématiques<br/>Université de Montpellier 2<br/>CC 5149, Place Eugène Bataillon F-34095 Montpellier<br/>France 
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Benjamin Enriquez; Gilles Halbout. Quantization of coboundary Lie bialgebras. Annals of mathematics, Tome 171 (2010) no. 2, pp. 1267-1345. doi : 10.4007/annals.2010.171.1267. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.1267/

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