Caractérisation et existence de structures de Dirac multiplicatives

Atallah Affane

doi:10.1016/j.crma.2009.10.002

Géométrie différentielle

Caractérisation et existence de structures de Dirac multiplicatives
[Characterization and existence of multiplicative Dirac structures]

Presented by: Charles-Michel Marle

Atallah Affane ¹

¹ Faculté de mathématiques, USTHB, B.P. 32 El Alia Bab Ezzouar, Alger, Algérie

Comptes Rendus. Mathématique, Volume 347 (2009) no. 21-22, pp. 1299-1304.

Abstract
Résumé

We define the product of two Dirac manifolds and introduce the notion of a Dirac–Lie group of Poisson type. This notion is equivalent to that of multiplicative Dirac structure and any real simply-connected Lie group carries a no trivial multiplicative Dirac structure when its dimension is at least 2.

Nous définissons le produit de deux variétés de Dirac et la notion de groupe de Dirac–Lie de type Poisson. Cette notion est équivalente à celle de structure de Dirac multiplicative et tout groupe de Lie réel simplement connexe, de dimension au moins 2 porte une structure de Dirac multiplicative non triviale.

Received: 2009-09-14
Accepted: 2009-10-02
Published online: 2009-10-21

DOI: 10.1016/j.crma.2009.10.002

Author's affiliations:

Atallah Affane ¹

¹ Faculté de mathématiques, USTHB, B.P. 32 El Alia Bab Ezzouar, Alger, Algérie

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     title = {Caract\'erisation et existence de structures de {Dirac} multiplicatives},
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Atallah Affane. Caractérisation et existence de structures de Dirac multiplicatives. Comptes Rendus. Mathématique, Volume 347 (2009) no. 21-22, pp. 1299-1304. doi : 10.1016/j.crma.2009.10.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.10.002/

References
Cited by

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