Geodesic
Hom-symmetric spaces and Hom-Jordan Hom-symmetric spaces
Filomat, Tome 37 (2023) no. 10, p. 3261

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DOI

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.
DOI : 10.2298/FIL2310261C
Classification : 22E05, 16W10
Keywords: Hom-Jordan algebra, Hom-Lie algebra, Hom-Lie group, Hom-reflection space, Hom-symmetric space 
Sami Chouaibi; Esmaeil Peyghan. Hom-symmetric spaces and Hom-Jordan Hom-symmetric spaces. Filomat, Tome 37 (2023) no. 10, p. 3261 . doi: 10.2298/FIL2310261C
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     author = {Sami Chouaibi and Esmaeil Peyghan},
     title = {Hom-symmetric spaces and {Hom-Jordan} {Hom-symmetric} spaces},
     journal = {Filomat},
     pages = {3261 },
     year = {2023},
     volume = {37},
     number = {10},
     doi = {10.2298/FIL2310261C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2310261C/}
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