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arXiv · 2010.13226

Hom-Jordan-Malcev-Poisson algebras

Taoufik Chtioui·Sami Mabrouk·Abdenacer Makhlouf
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Abstract

The purpose of this paper is to provide and study a Hom-type generalization of Jordan-Malcev-Poisson algebras, called Hom-Jordan-Malcev-Poisson algebras. We show that they are closed under twisting by suitable self-maps and give a characterization of admissible Hom-Jordan-Malcev-Poisson algebras. In addition, we introduce the notion of pseudo-Euclidian Hom-Jordan-Malcev-Poisson algebras and describe its $T^*$-extension. Finally, we generalize the notion of Lie-Jordan-Poisson triple system to the Hom setting and establish its relationships with Hom-Jordan-Malcev-Poisson algebras.

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BibTeXRIS

Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf. 2020-10-25. Hom-Jordan-Malcev-Poisson algebras. https://arxiv.org/abs/2010.13226

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