Higher Extensions of Lie Algebroids
Mathematical Physics
2017-04-10 v4 Differential Geometry
math.MP
Representation Theory
Abstract
We study the extension of a Lie algebroid by a representation up to homotopy, including semidirect products of a Lie algebroid with such representations. The extension results in a higher Lie algebroid. We give exact Courant algebroids and string Lie 2-algebras as examples of such extensions. We then apply this to obtain a Lie 2-groupoid integration of an exact Courant algebroid.
Keywords
Cite
@article{arxiv.1103.5920,
title = {Higher Extensions of Lie Algebroids},
author = {Yunhe Sheng and Chenchang Zhu},
journal= {arXiv preprint arXiv:1103.5920},
year = {2017}
}
Comments
32 pages