Hom-symmetric spaces and Hom-Jordan Hom-symmetric spaces

Sami Chouaibi, Esmaeil Peyghan

Abstract


In this paper, we introduce and study the notions of Hom-reflection space and Hom-symmetric space. We provide some examples of Hom-reflection spaces (resp. Hom-symmetric spaces) by using ordinary reflection
(resp. symmetric) spaces. Also, we associate a Hom-reflection (resp. Hom-symmetric) space to a Hom-Lie group. Finally, we provide some properties of a Hom-Jordan algebra and show that there is a relationship
between Hom-Jordan algebras and Hom-symmetric spaces.

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