Amine Bahayou

activity

20092026

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math.DG2026

Toric geometry of Schouten squares on rotational double extensions

Amine Bahayou

Let $\g=\fb\oplus V\oplus\fb^{*}$ be a Medina-Revoy rotational double extension in which an abelian Lie algebra $\fb$ acts by scalar rotations on an orthogonal sum of oriented Eucl…

math.DG2023

Bialgebra Structures on Flat Lie Algebras and their Poisson-Lie Groups

Amine Bahayou

We study Lie bialgebra structures on \emph{flat metric Lie algebras}, that is, Lie algebras $(g, ⟨ \cdot, \cdot ⟩)$ whose associated left-invariant Riemannian me…

math.DG2011

Connexions contravariantes sur les groupes de Lie-Poisson

Amine bahayou

This work is devoted to the study of a class of Poisson-Lie groups endowed with left invariant metrics. The triples $(G, π, <, >)$ are considered, where $G$ is a simply connected Lie…

math.DG2009

Multiplicative deformations of spectrale triples associated to left invariant metrics on Lie groups

Amine Bahayou, Mohamed Boucetta

We study the triple $(G,π,\prs)$ where $G$ is a connected and simply connected Lie group, $π$ and $\prs$ are, respectively, a multiplicative Poisson tensor and a left invariant Rie…