28 citations · 34 across the 7 of their papers we have counts for
8 papers
The solenoidal Heisenberg Virasoro algebra and its simple weight modules
Boujemaa Agrebaoui, Walid Mhiri
Let and the solenoidal Lie algebra introduced by Y.Billig and V.Futorny in \cite{BiFu2}, where $μ=(μ_1,\ldots,μ…
Representations of Simple Hom-Lie algebras
Boujemaa Agrebaoui, Karima Benali, Abdenacer Makhlouf
The purpose of this paper is to study representations of simple multiplicative Hom-Lie algebras. First, we provide a new proof using Killing form for characterization theorem of si…
Diamond cone for
Boujemaa Agrebaoui, Didier Arnal, Olfa Khlifi
In this paper, we first study the shape algebra and the reduced shape algebra for the Lie superalgebra . We define the quasistandard tableaux, their collection…
Diamond module for the Lie algebra
Boujemaa Agrebaoui, Didier Arnal, Abdelkader Ben Hassine
The diamond cone is a combinatorial description for a basis of an indecomposable module for the nilpotent factor of a semi simple Lie algebra. After N. J. Wildberger…
Deforming the Lie Superalgebra of Contact Vector Fields on
Boujemaa Agrebaoui, Nizar Ben Fraj, Salem Omri
We classify nontrivial deformations of the standard embedding of the Lie superalgebra K(1) of contact vector fields on the (1,1)-dimensional supercircle into the Lie superalgebra o…
Deformations of modules of differential forms
B. Agrebaoui, M. Ben Ammar, N. Ben Fraj +1
We study non-trivial deformations of the natural action of the Lie algebra on the space of differential forms on . We calculate abstra…