5 papers
Killing Vectors and Bochner-Type Theorems in Pseudo-Riemannian Hom-Lie Algebras
Raymond Hounnonkpe, Ibrahima Bakayoko, Emmanuel Gnandi +1
In this paper, we study pseudo-Riemannian Hom-Lie algebras. We establish Hom-versions of the classical Bochner theorem in both the Riemannian and Lorentzian settings. Finally, we p…
Structures and comodules of Hom-post Lie coalgebras
Damien Houndedji, Ibrahima Bakayoko
In this paper, we introduce the notions of Hom-tridendriform coalgebras and Hom-post-Lie coalgebras as the dual notions of Hom-tridendriform algebras and Hom-post-LIe algebras resp…
Computational Methods for Rota-type operators on 4-dimensionnal nilpotent Leibniz Algebras
Ahmed Zahari Abdou, Kol Béatrice Gamou, Ibrahima Bakayoko
A compatible nilpotent Leibniz algebra is a vector space equipped with two multiplication structures that interact in a certain natural way. This article presents the classificatio…
Classification of some operators on compatible ternary Leibniz algebras
Kol Béatrice Gamou, Ahmed Zahari Abdou, Ibrahima Bakayoko
In this paper, we establish some basic properties of certain operators (element of centroids, averaging operators, derivations, Nijenhuis operators, Rota-Baxter operators) on (comp…
Crossed modules of ternary Leibniz algebras
Kol Béatrice Gamou, Ibrahima Bakayoko
The aim of this paper is to construct triassociative algebras (from operators), new actions and crossed modules from a given one, and to make the connexion between these notions on…