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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 014, 8 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.014 (Mi sigma797) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Courant Algebroids. A Short History

Yvette Kosmann-Schwarzbach

Centre de Mathématiques Laurent Schwartz, École Polytechnique, F-91128 Palaiseau, France
Full-text PDF (336 kB) Citations (17)
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DOI: https://doi.org/10.3842/SIGMA.2013.014
Abstract: The search for a geometric interpretation of the constrained brackets of Dirac led to the definition of the Courant bracket. The search for the right notion of a “double” for Lie bialgebroids led to the definition of Courant algebroids. We recount the emergence of these concepts.
Keywords: Courant algebroid; Dorfman bracket; Lie algebroid; Lie bialgebroid; generalized geometry; Dirac structure; Loday algebra; Leibniz algebra; derived bracket.
Received: December 3, 2012; in final form February 14, 2013; Published online February 19, 2013
Bibliographic databases:
Document Type: Article
MSC: 01A65; 53D17; 17B62; 17B66; 22A22; 53C15
Language: English
Citation: Yvette Kosmann-Schwarzbach, “Courant Algebroids. A Short History”, SIGMA, 9 (2013), 014, 8 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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