4 papers · 1 filter
Nijenhuis operators and twisted -operators on Nambu-Poisson algebras
Apurba Das, Fattoum Harrathi, Sami Mabrouk
A ternary Nambu-Poisson algebra (which we call a Nambu-Poisson algebra in the paper) is the underlying algebraic structure of Nambu-Poisson manifolds of order that appeared in…
Extensions of pseudo-euclidean mock-Lie superalgebras
Tahar Benyoussef, Sami Mabrouk
In this article, we introduce mock-Lie superalgebras, we give some definitions, properties, constructions, and we study their representations. Moreover we introduce pseudo-euclidea…
Bialgebras, Manin triples of Malcev-Poisson algebras and post-Malcev-Poisson algebras
Fattoum Harrathi, Sami Mabrouk, Nasser Nawel +1
A Malcev-Poisson algebra is a Malcev algebra together with a commutative associative algebra structure related by a Leibniz rule. In this paper, we introduce the notion of Malcev-P…
Twisting -operators by -Cocycle of Hom-Lie-Yamaguti Algebras with Representations
Sami Mabrouk, Sergei Silvestrov, Fatma Zouaidi
In this paper, we first introduce the notion of twisted -operators on a Hom-Lie-Yamaguti algebra by a given -cocycle with coefficients in a representation. We sh…