ar X iv : 0 90 2 . 29 25 v 1 [ m at h . G T ] 1 7 Fe b 20 09 COVERINGS AND ACTIONS OF STRUCTURED LIE GROUPOIDS
نویسنده
چکیده
In this work we deal with coverings and actions of Lie groupgroupoids 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 coverings of Lie group-groupoids.
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