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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 4

Coverings of structured Lie groupoids

M. Habil GÜRSOY
İlhan İÇEN
Pages
845–854
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then, we give similar results for Lie ring-groupoid which is also a structured Lie groupoid.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we present some results related to coverings of structured Lie groupoids.
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Key Findings & Data: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.
💡
Conclusion & Impact:Then, we give similar results for Lie ring-groupoid which is also a structured Lie groupoid.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lie Groupoid · Covering · Structured Lie Groupoid

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.

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Cite This Article

GÜRSOY, M. H., İÇEN, İ. (2022). Coverings of structured Lie groupoids. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 4, 845–854. https://ajindex.com/articles/529880

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