32 citations · 47 across the 10 of their papers we have counts for
10 papers
Cartan-Schouten metrics for information geometry and machine learning
Andre Diatta, Bakary Manga, Fatimata Sy
We study Cartan-Schouten metrics, explore invariant dual connections, and propose them as models for Information Geometry. Based on the underlying Riemannian barycenter and the bii…
On dual quaternions, dual split quaternions and Cartan-Schouten metrics on perfect Lie groups
Andre Diatta, Bakary Manga, Fatimata Sy
We discuss Cartan-Schouten metrics (Riemannian or pseudo-Riemannian metrics that are parallel with respect to the Cartan-Schouten canonical connection) on perfect Lie groups. Appli…
On the classification of 2-solvable Frobenius Lie algebras
Andre Diatta, Bakary Manga, Ameth Mbaye
We discuss the classification of 2-solvable Frobenius Lie algebras. We prove that every 2-solvable Frobenius Lie algebra splits as a semidirect sum of an n-dimensional vector space…
On systems of commuting matrices, Frobenius Lie algebras and Gerstenhaber's Theorem
Andre Diatta, Bakary Manga, Ameth Mbaye
This work relates to three problems, the classification of maximal Abelian subalgebras (MASAs) of the Lie algebra of square matrices, the classification of 2-step solvable Frobeniu…
On the Geometry of Cotangent Bundles of Lie Groups
Bakary Manga
Lie groups of automorphisms of cotangent bundles of Lie groups are completely characterized and interesting results are obtained. We give prominence to the fact that the Lie groups…
Point and Potential Symmetries of the Fokker-Planck Equation
Faya Doumbo Kamano, Bakary Manga, Joël Tossa
We determine the Lie point symmetries of the Fokker-Planck equation and provide examples of solutions of this equation. The Fokker-Planck equation admits a conserved form, hence th…
Color Hom-Akivis algebras, Color Hom-Leibniz algebras and Modules over Color Hom-Leibniz algebras
Ibrahima Bakayoko, Momo Bangoura, Bakary Manga
In this paper we introduce color Hom-Akivis algebras and prove that the commutator of any color non-associative Hom-algebra structure map leads to a color Hom-akivis algebra. We gi…
Hom-alternative modules and Hom-Poisson comodules
Ibrahima Bakayoko, Bakary Manga
In this paper we introduce modules over both left and right Hom-alternative algebras. We give some constructions of left and right Hom-alternative modules and give various properti…
On properties of principal elements of Frobenius Lie algebras
Andre Diatta, Bakary Manga
We investigate the properties of principal elements of Frobenius Lie algebras, following the work of M. Gerstenhaber and A. Giaquinto. We prove that any Lie algebra with a left sym…
Automorphisms of cotangent bundles of Lie groups
Andre Diatta, Bakary Manga
Let G be a Lie group, its cotangent bundle with its natural Lie group structure obtained by performing a left trivialization of T^*G and endowing the resulting trivial bundl…