Complex and Kähler structures on hom-Lie algebras

Authors : Esmaeil PEYGHAN, Leila NOURMOHAMMADİFAR

Pages : 1039-1056

Doi:10.15672/hujms.488823

View : 15 | Download : 9

Publication Date : 2020-06-02

Article Type : Research Paper

Abstract :insert ignore into journalissuearticles values(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.
Keywords : Proper hom Lie algebra, almost Hermitian structure, hom Levi Civita product, Kähler hom Lie algebra, phase space