Zobrazeno 1 - 10
of 151
pro vyhledávání: '"Benayadi, Saïd"'
Publikováno v:
Linear Algebra Appl. 649 (2022), 22-46
The aim of this work is to study a very special family of odd-quadratic Lie superalgebras ${\mathfrak g}={\mathfrak g}_{\bar 0}\oplus {\mathfrak g}_{\bar 1}$ such that ${\mathfrak g}_{\bar 1}$ is a weak filiform ${\mathfrak g}_{\bar 0}$-module (weak
Externí odkaz:
http://arxiv.org/abs/2401.13017
Publikováno v:
J. Math. Phys. 64 (2023), no. 4, 041703, 18 pp
The present work studies deeply quadratic symplectic Lie superalgebras, obtaining, in particular, that they are all nilpotent. Consequently, we provide classifications in low dimensions and identify the double extensions that maintain symplectic stru
Externí odkaz:
http://arxiv.org/abs/2401.13711
The notion of symmetric Zinbiel superalgebras is introduced. We prove that the nilpotency index of a symmetric Zinbiel superalgebra is not greater than 4 and describe two-generated symmetric Zinbiel algebras and odd generated superalgebras. We discus
Externí odkaz:
http://arxiv.org/abs/2203.00311
Autor:
Benayadi, Said, Bouarroudj, Sofiane
In this paper, we introduce and develop the notion of a Manin triple for a Lie superalgebra $\mathfrak g$ defined over a field of characteristic $p=2$. We find cohomological necessary conditions for the pair $(\mathfrak g, \mathfrak g^*)$ to form a M
Externí odkaz:
http://arxiv.org/abs/2110.05141
In this paper, we define and develop a cohomology and deformation theories of Jacobi-Jordan algebras. We construct a cohomology based on two operators, called zigzag cohomology, and detail the low degree cohomology spaces. We describe the relationshi
Externí odkaz:
http://arxiv.org/abs/2109.12364
Autor:
Benayadi, Saïd, Oubba, Hassan
Publikováno v:
In Linear Algebra and Its Applications 15 November 2024 701:22-60
Publikováno v:
In Journal of Algebra 15 November 2024 658:821-868
Autor:
Benayadi, Saïd, Oubba, Hassan
Publikováno v:
In Journal of Algebra 1 November 2024 657:600-637
Autor:
Albuquerque, Helena, Barreiro, Elisabete, Benayadi, Saïd, Boucetta, Mohamed, Sánchez, José M.
Oscillator Lie algebras are the only non commutative solvable Lie algebras which carry a bi-invariant Lorentzian metric. In this paper, we determine all the Poisson structures, and in particular, all symmetric Leibniz algebra structures whose underly
Externí odkaz:
http://arxiv.org/abs/2003.12608
Autor:
Bajo, Ignacio, Benayadi, Saïd
Publikováno v:
In Journal of Geometry and Physics October 2023 192