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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2013 Volume 9, 014, 8 pp. (Mi sigma797)

This article is cited in 18 papers

Courant Algebroids. A Short History

Yvette Kosmann-Schwarzbach

Centre de Mathématiques Laurent Schwartz, École Polytechnique, F-91128 Palaiseau, France

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.

MSC: 01A65; 53D17; 17B62; 17B66; 22A22; 53C15

Received: December 3, 2012; in final form February 14, 2013; Published online February 19, 2013

Language: English

DOI: 10.3842/SIGMA.2013.014



Bibliographic databases:
ArXiv: 1212.0559


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