Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Manga, Bakary"'
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 biinvariant mean of Lie groups, we subsequently propose a new parametric
Externí odkaz:
http://arxiv.org/abs/2408.15854
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. Applications are foreseen in Information Geometry. Throughout this work, th
Externí odkaz:
http://arxiv.org/abs/2310.02114
Publikováno v:
Journal of Lie Theory 33 (2023), No. 3, 799-830
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 V and an n-dimensional maximal Abelian subalgebra (MASA) of the full
Externí odkaz:
http://arxiv.org/abs/2209.05595
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 Frobenius Lie algebras and the Gerstenhaber's Theorem. Let M and N be two comm
Externí odkaz:
http://arxiv.org/abs/2002.08737
Autor:
Manga, Bakary
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 of automorphisms of cotangent bundles of Lie groups are super symmetr
Externí odkaz:
http://arxiv.org/abs/1505.00375
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 there is an auxiliary system associated to this equation and whose point
Externí odkaz:
http://arxiv.org/abs/1503.02209
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 give various constructions of color Hom-Akivis algebras. Next we study f
Externí odkaz:
http://arxiv.org/abs/1412.2814
Autor:
Bakayoko, Ibrahima, Manga, Bakary
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 properties of both, as well as examples. Then, we prove that morphisms of left
Externí odkaz:
http://arxiv.org/abs/1411.7957
Autor:
Diatta, Andre, Manga, Bakary
Publikováno v:
Journal of Lie Theory 24 (2014), No. 3, 849--864
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 symmetric algebra structure can be embedded, in a natural way, as a subal
Externí odkaz:
http://arxiv.org/abs/1212.5380
Autor:
Diatta, Andre, Manga, Bakary
Publikováno v:
Afr. Diaspora J. Math. 17, no 2 (2014), 20-46
Let G be a Lie group, $T^*G$ its cotangent bundle with its natural Lie group structure obtained by performing a left trivialization of T^*G and endowing the resulting trivial bundle with the semi-direct product, using the coadjoint action of G on the
Externí odkaz:
http://arxiv.org/abs/0811.2951