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

The Bogomolov multiplier of Lie algebras

Z. Araghi ROSTAMİ
Mohsen Parvizi
Peyman NİROOMAND
Sayfa
1190–1205
Yayın Tarihi
2022-10-18
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we extend the notion of the Bogomolov multipliers and the CP-extensions to Lie algebras.
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Temel Bulgular & Veri:Then, we compute the Bogomolov multipliers for Abelian, Heisenberg and nilpotent Lie algebras of class at most 6.
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Sonuç & Katkı:Finally, we compute the Bogomolov multipliers of complex simple and semisimple Lie algebras.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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