Hom-Jordan-Malcev-Poisson algebras (Q6165928)

The authors present and explore a Hom-type extension of Jordan-Malcev-Poisson algebras, which they refer to as Hom-Jordan-Malcev-Poisson algebras. They demonstrate that these algebras are closed under twisting by suitable self-maps, and they provide a characterization of admissible Hom-Jordan-Malcev-Poisson algebras. Furthermore, they introduce the concept of pseudo-Euclidean Hom-Jordan-Malcev-Poisson algebras and elucidate its \(T^*\)-extension. Lastly, the authors extend the notion of Lie-Jordan-Poisson triple systems into the Hom framework and establish its connections with Hom-Jordan-Malcev-Poisson algebras.