Integration of semidirect product Lie 2-algebras
Differential Geometry
2012-07-05 v3 Mathematical Physics
Group Theory
math.MP
Abstract
The semidirect product of a Lie algebra and a 2-term representation up to homotopy is a Lie 2-algebra. Such Lie 2-algebras include many examples arising from the Courant algebroid appearing in generalized complex geometry. In this paper, we integrate such a Lie 2-algebra to a strict Lie 2-group in the finite dimensional case.
Keywords
Cite
@article{arxiv.1003.1348,
title = {Integration of semidirect product Lie 2-algebras},
author = {Yunhe Sheng and Chenchang Zhu},
journal= {arXiv preprint arXiv:1003.1348},
year = {2012}
}
Comments
31 pages, no figure, Int. J. Geom. Methods Mod. Phys. Vol. 9, No. 5 (2012) 1250043. DOI No: 10.1142/S0219887812500430 1250043