Courant Algebroids. A Short History

Symmetry Integrability and Geometry-Methods and Applications

article

Yvette Kosmann-Schwarzbach¹ 

[1] Centre de Mathématiques Laurent Schwartz

关键词: Courant algebroid;    Dorfman bracket;    Lie algebroid;    Lie bialgebroid;    generalized geometry;    Dirac structure;    Loday algebra;    Leibniz algebra;    derived bracket;   

DOI  :  10.3842/SIGMA.2013.014

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown