ON RESTRICTED HOM-LIE TRIPLE SYSTEMS
In this paper, we define the notion of restricted Hom-Lie triple system. This class of triple systems is a generalization of restricted Lie triple system.
restricted Hom-Lie triple system, involution, p-mapping.
Received: November 5, 2022; Accepted: December 29, 2022; Published: January 5, 2023
How to cite this article: Hamdiatou Yara and Patricia L. Zoungrana, On restricted Hom-Lie triple systems, Universal Journal of Mathematics and Mathematical Sciences 18(1) (2023), 35-52. http://dx.doi.org/10.17654/2277141723003
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References:
[1] A. Baklouti, Quadratic Hom-Lie triple systems, J. Geom. Phys. 121 (2017), 166-175.[2] S. Benayadi and A. Makhlouf, Hom-Lie algebras with symmetric invariant non-degenerate bilinear forms, J. Geom. Phys. 76 (2014), 38-60.[3] T. L. Hodge, Lie triple system, restricted Lie triple system and algebraic groups, J. Algebra 244 (2001), 533-580.[4] B. Guan and L. Chen, Restricted Hom-Lie algebras, Hacet. J. Math. Stat. 44 (2015), 823-837.[5] R. Vandermolen, Universal imbedding of Hom-Lie triple system, 2017. arXiv preprint arXiv:1709.08714.