Courant Algebroids and Strongly Homotopy Lie Algebras

Alan Weinstein; Dmitry Roytenberg

Courant Algebroids and Strongly Homotopy Lie Algebras

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arxiv math/9802118 v1 pith:PVVCKGKA submitted 1998-02-27 math.QA math.DG

Dmitry Roytenberg , Alan Weinstein This is my paper · ORCID

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keywords courantalgebroidsalgebrasdoubleshomotopystronglystructuresbialgebras

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Courant algebroids are structures which include as examples the doubles of Lie bialgebras and the direct sum of tangent and cotangent bundles with the bracket introduced by T. Courant for the study of Dirac structures. Within the category of Courant algebroids one can construct the doubles of Lie bialgebroids, the infinitesimal objects for Poisson groupoids. We show that Courant algebroids can be considered as strongly homotopy Lie algebras.

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Tensor hierarchy algebras and extended geometry II: Gauge structure and dynamics
hep-th 2019-08 conditional novelty 6.0 of 10

The gauge structure and pseudo-action of extended geometry with ancillary transformations are encoded by a tensor hierarchy algebra S(g+), yielding a partial L-infinity description for finite-dimensional structure groups.

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