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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 53 Issue: 3

Hom-Gel'fand-Dorfman conformal superbialgebras

Taoufik Chtioui(Faculty of sciences of Sfax)0000-0002-1950-217X
Pages
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Publication Date
2024-06-27
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AI Summary & Key Takeaways

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

Then we introduce Hom-Gel'fand Dorfman superbialgebra and provide some construction results.

📌 3 Key Takeaways

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Objective & Hypothesis:Gel'fand Dorfman superbialgebra, which is both a Lie superalgebra and a (left) Novikov superalgebra with some compatibility condition, appears in the study of Hamiltonian pairs in completely integrable systems and a class of special Lie conformal superalgebras called quadratic Lie conformal superalgebras.
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Key Findings & Data:In the present paper, we generalize this algebraic structure to the Hom-conformal case.
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Conclusion & Impact:Then we introduce Hom-Gel'fand Dorfman superbialgebra and provide some construction results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hom-Lie conformal superalgebra · Hom-Gel’fand Dorfman conformal superbialgebra · Hom-Novikov-Poisson superalgebra

Abstract

Gel'fand Dorfman superbialgebra, which is both a Lie superalgebra and a (left) Novikov superalgebra with some compatibility condition, appears in the study of Hamiltonian pairs in completely integrable systems and a class of special Lie conformal superalgebras called quadratic Lie conformal superalgebras. In the present paper, we generalize this algebraic structure to the Hom-conformal case. We introduce first, Hom-Novikov conformal superalgebras and exihibit several properties. Then we introduce Hom-Gel'fand Dorfman superbialgebra and provide some construction results.

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Cite This Article

Chtioui, T. (2024). Hom-Gel'fand-Dorfman conformal superbialgebras. Hacettepe Journal of Mathematics and Statistics, Volume: 53 Issue: 3. https://doi.org/10.15672/hujms.1196147

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