2 citations · 7 across the 12 of their papers we have counts for
10 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…
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…
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…
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…
Double extensions of quasi-Frobenius Lie superalgebras with degenerate center
Sofiane Bouarroudj, Quentin Ehret
We develop the process of symplectic double extensions for Lie superalgebras with degenerate center. The construction is a superization of a recent work by Fischer, and generalize…
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…
Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras
Sofiane Bouarroudj, Quentin Ehret, Yoshiaki Maeda
In this paper, we present a method of symplectic double extensions for restricted quasi-Frobenius Lie superalgebras. Certain cocycles in the restricted cohomology represent obstruc…
On classification and deformations of Lie-Rinehart superalgebras
Quentin Ehret, Abdenacer Makhlouf
The purpose of this paper is to study Lie-Rinehart superalgebras over characteristic zero fields, which are consisting of a supercommutative associative superalgebra and a Lie…