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Hom-symmetric spaces and Hom-Jordan Hom-symmetric spaces
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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.
Title: Hom-symmetric spaces and Hom-Jordan Hom-symmetric spaces
Description:
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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