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A CONTRIBUTION ON THE THEORY OF HOM-LIE-YAMAGUTI ALGEBRAS
Keywords:
Hom-Lie-Yamaguti algebra, generalized inner derivations, projectivityDOI:
https://doi.org/10.17654/0972555522034Abstract
In this paper, we define an inner $\alpha^k$-derivation on a Hom-Lie-Yamaguti algebra and obtain some of its properties. We also define and study the concept of projectivity of Hom-Lie-Yamaguti algebra.
Received: August 5, 2022
Accepted: September 16, 2022
References
D. Gaparayi and A. Nourou Issa, A twisted generalization of Lie-Yamaguti algebras, International Journal of Algebra 6 (2012), 339-352.
S. Guo, X. Zhang and S. Wang, Representations and deformations of Hom-Lie-Yamaguti superalgebras, Advances in Mathematical Physics (2020), Article ID 9876738.
M. Kikkawa, Projectivity of Lie Triple Algebras, Memoirs of the Faculty Science and Engineering Shimane University Series B (Mathematical Science), Vol. 31, 1998, pp. 11-20.
Y. Ma, L. Chen and J. Lin, One-parameter formal deformations of Hom-Lie-Yamaguti algebras, Journal of Mathematical Physics 56(1) (2015), Article ID 011701.
K. Nomizu, Invariant affine connections on homogeneous spaces, American Journal of Mathematics 76(1) (1954), 33-65.
K. Yamaguti, On the Lie triple system and its generalization, Journal of Science of the Hiroshima University, Series A (Mathematics, Physics, Chemistry), Vol. 21, 1958, pp. 155-160.
T. Zhang and J. Li, Representation and cohomologies of Hom-Lie-Yamaguti algebras with applications, Colloquium Mathematicum 148(1) (2017), 131-155.
J. Zhou, L. Chen and Y. Ma, Generalized derivations of Hom-Lie triple systems, Bulletin Malaysian Mathematical Sciences Society 41(2) (2018), 637-656.
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