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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 47 Issue: 4

Coverings of structured Lie groupoids

M. Habil Gürsoy
İlhan İçen
Pages
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Publication Date
2018-08-01
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.
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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. (2018). Coverings of structured Lie groupoids. Hacettepe Journal of Mathematics and Statistics, Volume: 47 Issue: 4. https://ajindex.com/articles/1402909

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