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

Presented by: Charles-Michel Marle

Affane, Atallah1
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.

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:
Accepted:
Published online:
DOI: 10.1016/j.crma.2009.10.002
Affane, Atallah 1

1 Faculté de mathématiques, USTHB, B.P. 32 El Alia Bab Ezzouar, Alger, Algérie 
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Affane, Atallah. 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. http://www.numdam.org/articles/10.1016/j.crma.2009.10.002/

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