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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 3

Complex and Kähler structures on hom-Lie algebras

Esmaeil Peyghan(Arak University)0000-0002-2713-6253
Leila Nourmohammadifar(Arak University)0000-0002-8772-4460
Sayfa
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Yayın Tarihi
2020-06-02
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we describe all two-dimension non-abelian Kähler hom-Lie algebra and also it is shown that there does not exist a non-abelian Kähler proper hom-Lie algebra of dimension two.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:(Almost) Complex and Hermitian structures on hom-Lie algebras are introduced and some examples of these structures are presented.
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Temel Bulgular & Veri:We study the complexification of hom-Lie algebras.
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Sonuç & Katkı:Finally, we describe all two-dimension non-abelian Kähler hom-Lie algebra and also it is shown that there does not exist a non-abelian Kähler proper hom-Lie algebra of dimension two.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Proper hom-Lie algebra · almost Hermitian structure · hom-Levi-Civita product

Abstract

(Almost) Complex and Hermitian structures on hom-Lie algebras are introduced and some examples of these structures are presented. We study the complexification of hom-Lie algebras. Also, the notion of Kähler hom-Lie algebras is introduced and then using a Kähler hom-Lie algebra, we present a phase space. Finally, we describe all two-dimension non-abelian Kähler hom-Lie algebra and also it is shown that there does not exist a non-abelian Kähler proper hom-Lie algebra of dimension two.

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Bu Makaleye Atıf Yap

Peyghan, E., Nourmohammadifar, L. (2020). Complex and Kähler structures on hom-Lie algebras. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 3. https://doi.org/10.15672/hujms.488823

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Kaynakça (16)

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