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| HAL: hal-00203466, version 1 |
| arXiv: math/0607817 |
| Detailed view |  Export this paper |
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| Quantization of Gamma-Lie bialgebras |
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| Benjamin Enriquez 1Gilles Halbout 1, 2 |
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| (2007-12-05) |
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| We introduce the notion of Gamma-Lie bialgebra, where Gamma is a group. These objects give rise to cocommutative co-Poisson algebras, for which we construct quantization functors. This enlarges the class of co-Poisson algebras for which a quantization is known. Our result relies on our earlier work, where we showed that twists of Lie bialgebras can be quantized; we complement this work by studying the behavior of this quantization under compositions of twists. |
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| 1: | Institut de Recherche Mathématique Avancée (IRMA) |
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CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I |
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| 2: | Institut de Mathématiques et de Modélisation de Montpellier (I3M) |
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CNRS : UMR5149 – Université Montpellier II - Sciences et techniques |
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| Subject | : | Mathematics/Quantum Algebra |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/math/0607817 |
| hal-00203466, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00203466 | |
| oai:hal.archives-ouvertes.fr:hal-00203466 | |
| From: Benjamin Enriquez | |
| Submitted on: Thursday, 10 January 2008 11:23:16 | |
| Updated on: Monday, 14 January 2008 08:29:54 | |
