Differential operators and actions of Lie algebroids
Differential Geometry
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
We demonstrate that the notions of derivative representation of a Lie algebra on a vector bundle, of semi-linear representations of a Lie group on a vector bundle, and related concepts, may be understood in terms of representations of Lie algebroids and Lie groupoids, and we indicate how these notions extend to derivative representations of Lie algebroids and semi-linear representations of Lie groupoids in general.
Keywords
Cite
@article{arxiv.math/0209337,
title = {Differential operators and actions of Lie algebroids},
author = {Y. Kosmann-Schwarzbach and K. C. H. Mackenzie},
journal= {arXiv preprint arXiv:math/0209337},
year = {2007}
}
Comments
21 pages. To appear in `Quantization, Poisson brackets and beyond', proceedings of a conference at UMIST (UK) in July 2001, edited by Ted Voronov, Contemporary Mathematics. In this version the `Note added in proof' at the end of the published paper has been incorporated in the main text