| Titre |
HOM-LIE-YAMAGUTI SUPERALGEBRAS |
| Auteurs |
Gaparayi Donatien [1],
ATTAN SYLVAIN [2],
ISSA A. Nourou [3],
|
| Journal: |
Korean J. Math. |
| Catégorie Journal: |
Internationale |
| Impact factor: |
0 |
| Volume Journal: |
27 |
| DOI: |
https://doi.org/10.11568/kjm.2019.27.1.175 |
| Resume |
(Multiplicative) Hom-Lie-Yamaguti superalgebras are
defined as a Z 2 -graded generalization of Hom-Lie Yamaguti algebras and also as a twisted generalization of Lie-Yamaguti superalgebras. Hom-Lie-Yamaguti superalgebras generalize also Hom-Lie
supertriple systems (and subsequently ternary multiplicative Hom-Nambu superalgebras) and Hom-Lie superalgebras in the same way as Lie-Yamaguti superalgebras generalize Lie supertriple systems
and Lie superalgebras. Hom-Lie-Yamaguti superalgebras are obtained from Lie-Yamaguti superalgebras by twisting along superalgebra even endomorphisms. We show that the category of (multiplicative) Hom-Lie-Yamaguti superalgebras is closed under twisting by self-morphisms. Constructions of some examples of Hom-Lie-
Yamaguti superalgebras are given. The notion of an nth derived (binary) Hom-superalgebras is extended to the one of an nth derived binary-ternary Hom-superalgebras and it is shown that the category
of Hom-Lie-Yamaguti superalgebras is closed under the process of taking nth derived Hom-superalgebras. |
| Mots clés |
Lie-Yamaguti superalgebra (i.e.generalized Lie super-
triple system, Lie superalgebra), Hom-Lie-Yamaguti superalgebra (i.e.generalized
Hom-Lie supertriple system, Hom-Lie superalgebra). |
| Pages |
175 - 192 |
| Fichier |
(PDF) |