54 citations · 273 across the 53 of their papers we have counts for
59 papers
Pseudo-Euclidean Novikov Superalgebras: Structure and Properties
Said Benayadi, Sofiane Bouarroudj, Hamza El Ouali
A pseudo-Euclidean Novikov superalgebra is a Novikov superalgebra endowed with a non-degenerate symmetric bilinear form such that all left multiplication oper…
Hyper relative differential operators on Lie algebras
Sofiane Bouarroudj, Jiefeng Liu, Liwen Zhang
In this paper, we first introduce the notion of a hyper relative differential operator on a Lie algebra, in which Nijenhuis operators are used to characterize the relative differen…
Structure of Flat Quadratic Quasi-Frobenius Lie Superalgebras via Double Extensions
Sofiane Bouarroudj, Hamza El Ouali
A flat quadratic quasi-Frobenius Lie superalgebra is a quadratic Lie superalgebra equipped with an additional symplectic structure that is flat with respect to the natural symplect…
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…
Almost-simple algebraic supergroups
S. Bouarroudj, A. N. Zubkov
We describe certain almost-simple algebraic supergroups over an algebraically closed field of odd or zero characteristic. In addition to supergroups with simple Lie superalgebras f…
Flat quasi-Frobenius Lie superalgebras
Sofiane Bouarroudj, Hamza El Ouali
A non-associative superalgebra is called pre-symplectic if it is equipped with a non-degenerate, anti-symmetric bilinear form. It is called quasi-Frobenius if, in addition, is a Li…