Coverings and Actions of Structured Lie Groupoids I

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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.
14 pages

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Geometric Topology, Algebraic Topology, 22A22, 57M10

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http://salesiana.dossiersoluciones.com/handle/123456789/220241

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.2925
 http://arxiv.org/abs/0902.2925

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arXiv