14 citations · 14 across the 5 of their papers we have counts for
7 papers · 1 filter
Computer-aided study of double extensions of restricted Lie superalgebras preserving the non-degenerate closed 2-forms in characteristic 2
Sofiane Bouarroudj, Dimitry Leites, Jin Shang
A Lie (super)algebra with a non-degenerate invariant symmetric bilinear form is called a nis-(super)algebra. The double extension of a nis-(super)algebra $\mathf…
Lagrangian extensions and left symmetric structures on the four-dimensional real Lie superalgebras
Sofiane Bouarroudj, Ana-Maria Radu
Over real numbers, Backhouse classified all four-dimensional Lie superalgebras. From this list, we will investigate those Lie superalgebras that can be obtained as Lagrangian exten…
The Superization of Hochschild's Lemma and Restricted Lie-Rinehart Superalgebras
Sofiane Bouarroudj, Quentin Ehret, Abdenacer Makhlouf +1
The main goal of this paper is to introduce the notion of restricted Lie-Rinehart superalgebra over a field of characteristic , motivated by a generalization of Hochschild's l…
Cohomology of Restricted Poisson algebras in characteristic 2
Sofiane Bouarroudj, Quentin Ehret, Jiefeng Liu
In this paper, we study restricted Poisson algebras in characteristic 2 and their relationship with restricted Lie-Rinehart algebras, for which we develop a cohomology theory and i…
Left-symmetric superalgebras and Lagrangian extensions of Lie superalgebras in characteristic 2
Saïd Benayadi, Sofiane Bouarroudj, Quentin Ehret
The purpose of this paper is twofold. First, we introduce the notions of left-symmetric and left alternative structures on superspaces in characteristic 2. We describe their main p…
Central extensions of restricted Lie superalgebras and classification of -nilpotent Lie superalgebras in dimension
Sofiane Bouarroudj, Quentin Ehret
The first main result of this paper is to build the first and second restricted cohomology groups for restricted Lie superalgebras in characteristic , modifying a construct…