8 papers · 1 filter
On Poisson superalgebras in characteristic 2
Quentin Ehret
This paper is devoted to the study of Poisson superalgebras over fields of characteristic . We investigate their representations, semidirect products, cohomology, formal deforma…
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…
An alternative approach to deformations of restricted Lie-Rinehart algebras
Quentin Ehret
In this paper, we develop a new approach to the deformation theory of restricted Lie-Rinehart algebras in positive characteristic, based on the deformation theory of restricted mor…
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…
Cohomology and deformations of restricted Lie algebras and their morphisms in positive characteristic
Quentin Ehret, Abdenacer Makhlouf
The main purpose of this paper is to study cohomology and develop a deformation theory of restricted Lie algebras in positive characteristic . In the case , it is show…
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…