3 papers
math.RA2025
Bialgebra theory and -operators of admissible Hom-Poisson algebras
Karima Benali
In this paper, we present and explore several key concepts within the framework of Hom-Poisson algebras. Specifically, we introduce the notions of admissible Hom-Poisson algebras,…
math.RA2023
Mock-Lie bialgebras and mock-Lie analogue of the classical Yang-Baxter equation
K. Benali, T. Chtioui, A. Hajjaji +1
The aim of this paper is to introduce the notion of a mock-Lie bialgebra which is equivalent to a Manin triple of mock-Lie algebras. The study of a special case called coboundary m…
math.RT2019
Representations of Simple Hom-Lie algebras
Boujemaa Agrebaoui, Karima Benali, Abdenacer Makhlouf
The purpose of this paper is to study representations of simple multiplicative Hom-Lie algebras. First, we provide a new proof using Killing form for characterization theorem of si…