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Article Dans Une Revue Annals of Global Analysis and Geometry Année : 2016

Lie rackoids

Résumé

We define a new differential geometric structure, called Lie rackoid. It relates to Leibniz algebroids exactly as Lie groupoids relate to Lie alge-broids. Its main ingredient is a selfdistributive product on the manifold of bisections of a smooth precategory. We show that the tangent algebroid of a Lie rackoid is a Leibniz alge-broid and that Lie groupoids gives rise via conjugation to a Lie rackoid. Our main objective are large classes of examples, including a Lie rackoid integrating the Dorfman bracket without the cocycle term of the standard Courant algebroid.
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Dates et versions

hal-01285648 , version 1 (09-03-2016)

Identifiants

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Camille Laurent-Gengoux, Friedrich Wagemann. Lie rackoids. Annals of Global Analysis and Geometry, 2016, 50 (2), pp.187-207. ⟨10.1007/s10455-016-9507-3⟩. ⟨hal-01285648⟩
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