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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 3

Finite-dimensional Leibniz algebra representations of $\mathfrak{sl}_2$

Tuuelbay Kurbanbaev(Karakalpak State University)0000-0002-9963-872X
Rustam Turdibaev(Uzbekistan Academy of Sciences University)0000-0002-0706-8169
Pages
—
Publication Date
2021-06-07
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⚡ TL;DR(Too Long; Didn't Read)

All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.

📌 3 Key Takeaways

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Objective & Hypothesis:All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.
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Key Findings & Data:All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.
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Conclusion & Impact:All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Leibniz algebra · Leibniz algebra bimodule · Finite-dimensional Leibniz algebra

Abstract

All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.

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Cite This Article

Kurbanbaev, T., Turdibaev, R. (2021). Finite-dimensional Leibniz algebra representations of $\mathfrak{sl}_2$. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 3. https://doi.org/10.15672/hujms.788994

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References (11)

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