 |
 |
 |
 |
|
|
|
|
| HAL: hal-00203468, version 1 |
| arXiv: math/0603740 |
| Detailed view |  Export this paper |
 |
|
|
| Quantization of coboundary Lie bialgebras |
|
|
| Benjamin Enriquez 1Gilles Halbout 1, 2 |
|
|
| (2007-12-05) |
|
|
|
| We show that any coboundary Lie bialgebra can be quantized. For this, we prove that: (a) Etingof-Kazhdan quantization functors are compatible with Lie bialgebra twists, and (b) 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. |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Institut de Recherche Mathématique Avancée (IRMA) |
|
|
|
CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I |
|
|
| 2: | Institut de Mathématiques et de Modélisation de Montpellier (I3M) |
|
|
|
CNRS : UMR5149 – Université Montpellier II - Sciences et techniques |
|
|
|
|
|
|
|
|
|
| Subject | : | Mathematics/Quantum Algebra |
|
|
| Fulltext link: |
|
| http://fr.arXiv.org/abs/math/0603740 |
| hal-00203468, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00203468 | |
| oai:hal.archives-ouvertes.fr:hal-00203468 | |
| From: Benjamin Enriquez | |
| Submitted on: Thursday, 10 January 2008 11:24:40 | |
| Updated on: Monday, 14 January 2008 08:29:02 | |
