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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 1

Generalized omni-Lie algebras

Chang Sun(Northeast Normal University)0000-0003-1209-895X
Liangyun Chen(Northeast Normal University)0000-0002-2941-1087
Pages
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Publication Date
2020-02-06
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AI Summary & Key Takeaways

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

We prove that there is a one-to-one correspondence between Dirac structures of a generalized omni-Lie algebra and Lie structures on its linear space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We introduce the notion of generalized omni-Lie algebras from omni-Lie algebras constructed by Weinstein.
📊
Key Findings & Data:We introduce the notion of generalized omni-Lie algebras from omni-Lie algebras constructed by Weinstein.
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Conclusion & Impact:We prove that there is a one-to-one correspondence between Dirac structures of a generalized omni-Lie algebra and Lie structures on its linear space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:omni-Lie algebras · generalized omni-Lie algebras · Dirac structures

Abstract

We introduce the notion of generalized omni-Lie algebras from omni-Lie algebras constructed by Weinstein. We prove that there is a one-to-one correspondence between Dirac structures of a generalized omni-Lie algebra and Lie structures on its linear space.

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Cite This Article

Sun, C., Chen, L. (2020). Generalized omni-Lie algebras. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 1. https://doi.org/10.15672/hujms.568290

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