Higher Extensions of Lie Algebroids and Application to Courant Algebroids

Details Higher Extensions of Lie Algebroids and Application to Courant Algebroids Higher Extensions of Lie Algebroids and Application to Courant Algebroids

2011-03-30

arxiv.org/abs/1103.5920v2

Physics

Mathematical Physics

36 pages

Scientific paper

A Lie algebra integrates to a Lie group. In this paper, we find a
"group-like" integration object for an exact Courant algebroid. The idea is
that we first view an exact Courant algebroid as an extension of the tangent
bundle by its coadjoint representation (up to homotopy), then we perform the
integration by the usual method of integration of an extension.

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