Coverings and Actions of Structured Lie Groupoids I

Details Coverings and Actions of Structured Lie Groupoids I Coverings and Actions of Structured Lie Groupoids I

2009-02-17

arxiv.org/abs/0902.2925v1

Mathematics

Geometric Topology

14 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Coverings and Actions of Structured Lie Groupoids I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coverings and Actions of Structured Lie Groupoids I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coverings and Actions of Structured Lie Groupoids I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-311072