Coverings of structured Lie groupoids

Authors : M. Habil GÜRSOY, İlhan İÇEN

Pages : 845-854

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Publication Date : 2018-08-01

Article Type : Research Paper

Abstract :In this work, we present some results related to coverings of structured Lie groupoids. Firstly, we obtain a covering Lie group-groupoid and a covering morphism of Lie group-groupoids from a given Lie group-groupoid by the notion of action. Secondly, we show how the Lie group structure of a Lie group-groupoid is lifted to a covering Lie groupoid. Then, we give similar results for Lie ring-groupoid which is also a structured Lie groupoid.
Keywords : Lie Groupoid, Covering, Structured Lie Groupoid