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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 3

The Bogomolov multiplier of Lie algebras

Z. Araghi ROSTAMİ
Mohsen Parvizi
Peyman NİROOMAND
Pages
1190–1205
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

Finally, we compute the Bogomolov multipliers of complex simple and semisimple Lie algebras.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we extend the notion of the Bogomolov multipliers and the CP-extensions to Lie algebras.
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Key Findings & Data:Then, we compute the Bogomolov multipliers for Abelian, Heisenberg and nilpotent Lie algebras of class at most 6.
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Conclusion & Impact:Finally, we compute the Bogomolov multipliers of complex simple and semisimple Lie algebras.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Commutativity-Preserving exterior product · ${\tilde{B_0}}$-pairing · Curly exterior product

Abstract

In this paper, we extend the notion of the Bogomolov multipliers and the CP-extensions to Lie algebras. Then, we compute the Bogomolov multipliers for Abelian, Heisenberg and nilpotent Lie algebras of class at most 6. Finally, we compute the Bogomolov multipliers of complex simple and semisimple Lie algebras.

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Cite This Article

ROSTAMİ, Z. A., Parvizi, M., NİROOMAND, P. (2022). The Bogomolov multiplier of Lie algebras. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 3, 1190–1205. https://ajindex.com/articles/529695

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