Double Lie algebroids and representations up to homotopy
Differential Geometry
2020-03-30 v2
Abstract
We show that double Lie algebroids, together with a chosen linear splitting, are equivalent to pairs of 2-term representations up to homotopy satisfying compatibility conditions which extend the notion of matched pair of Lie algebroids. We discuss in detail the tangent of a Lie algebroid.
Keywords
Cite
@article{arxiv.1409.1502,
title = {Double Lie algebroids and representations up to homotopy},
author = {Alfonso Gracia-Saz and Madeleine Jotz Lean and Kirill C. H. Mackenzie and Rajan A. Mehta},
journal= {arXiv preprint arXiv:1409.1502},
year = {2020}
}