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Courant Algebroids. A Short History

Keywords: Courant algebroid , Dorfman bracket , Lie algebroid , Lie bialgebroid , generalized geometry , Dirac structure , Loday algebra , Leibniz algebra , derived bracket

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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.

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