3 papers
math.RA2025
Cohomology and deformation theory of Averaging Leibniz algebras
Bouzid Mosbahi, Imed Basdouri, Jean Lerbet
In this paper, we introduce the concepts of representation and dual representation for averaging Leibniz algebras. We also develop a cohomology theory for these algebras. Additiona…
math.RA2024
Formal deformations and extensions of `twisted' Lie algebras
I. Basdouri, E. Peyghan, M. A. Sadraoui +1
The interplay between derivations and algebraic structures has been a subject of significant interest and exploration. Inspired by Yau's twist and the Leibniz rule, we investigate…
math.RA2024
Cohomologies of modified Rota-Baxter Lie algebras with derivations and applications
Imed Basdouri, Sami Benabdelhafidh, Mohamed Amin Sadraoui
In this paper, first, we introduce a notion of modified Rota-Baxter Lie algebras of weight with derivations (or simply modified Rota-Baxter LieDer pairs) and their repre…