Semidirect products of representations up to homotopy
Differential Geometry
2011-03-30 v1 Representation Theory
Abstract
We study the semidirect product of a Lie algebra with a representation up to homotopy and provide various examples coming from Courant algebroids, string Lie 2-algebras, and omni-Lie algebroids. In the end, we study the semidirect product of a Lie group with a representation up to homotopy and use it to give an integration of a certain string Lie 2-algebra.
Keywords
Cite
@article{arxiv.0910.2147,
title = {Semidirect products of representations up to homotopy},
author = {Yunhe Sheng and Chenchang Zhu},
journal= {arXiv preprint arXiv:0910.2147},
year = {2011}
}
Comments
22 pages