Mohsen Ben Abdallah

collaborators

3 papers

math.FA2026

Local Lie Theory in Quasi-Banach Lie Algebras: Convergence of the BCH Series and Geometric Implications

Nassim Athmouni, Mohsen Ben Abdallah, Mondher Damak +3

We develop a local Lie theory for Lie algebras equipped with a quasi-norm, i.e., complete topological vector spaces satisfying a relaxed triangle inequality $\|x+y\|\le \Ctri(\|x\|…

math.RA2025

Homogeneous Rota--Baxter Operators of Weight~0 on $B (q)$

Mohsen Ben Abdallah, Marwa Ennaceur

We give a complete and rigorous classification of homogeneous weight $0$ Rota--Baxter operators on the Block-type Witt algebra $B (q)$ , assuming the operator has integral degree $(k…

math.RA2025

Classification of Homogeneous Odd Rota--Baxter Operators on a Modified Witt-Type Lie Superalgebra

Mohsen Ben Abdallah, Marwa Ennaceur

We classify all homogeneous odd (i.e., parity-reversing) Rota--Baxter operators of weight zero on the modified Witt-type Lie superalgebra $W = ⟨ L_{m}, G_{n} ⟩_{m, n \in Z}$ .…

Local Lie Theory in Quasi-Banach Lie Algebras: Convergence of the BCH Series and Geometric Implications

Homogeneous Rota--Baxter Operators of Weight~0 on B(q)

Classification of Homogeneous Odd Rota--Baxter Operators on a Modified Witt-Type Lie Superalgebra

Homogeneous Rota--Baxter Operators of Weight~0 on $B (q)$