Coverings and Actions of Structured Lie Groupoids I
Geometric Topology
2009-02-18 v1 Algebraic Topology
Abstract
In this work we deal with coverings and actions of Lie group- groupoids being a sort of the structured Lie groupoids. Firstly, we define an action of a Lie group-groupoid on some Lie group and the smooth coverings of Lie group-groupoids. Later, we show the equivalence of the category of smooth actions of Lie group-groupoids on Lie groups and the category of smooth cov- erings of Lie group-groupoids. Further, we prove a theorem which denotes how is obtained a covering Lie group-groupoid and a smooth covering morphism of Lie group-groupoids from a Lie group-groupoid.
Cite
@article{arxiv.0902.2925,
title = {Coverings and Actions of Structured Lie Groupoids I},
author = {M. Habil Gürsoy and Ilhan Icen and A. Fatih Özcan},
journal= {arXiv preprint arXiv:0902.2925},
year = {2009}
}
Comments
14 pages