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5 papers · 2 filters
Ado theorem for nilpotent Hom-Lie algebras
Abdenacer Makhlouf, Pasha Zusmanovich
We prove an analog of the Ado theorem - the existence of a finite-dimensional faithful representation - for a certain kind of finite-dimensional nilpotent Hom-Lie algebras.
-type Hochschild cohomology of Hom-associative algebras and Hom-bialgebras
Benedikt Hurle, Abdenacer Makhlouf
In this paper we define a new cohomology for multiplicative Hom-associative algebras, which generalize Hochschild cohomology and fits with deformations of Hom-associative algebras…
Coadjoint orbits of Lie algebras and Cartan class
Michel Goze, Elisabeth Remm
We study the coadjoint orbits of a Lie algebra in terms of Cartan class. In fact, the tangent space to a coadjoint orbit at the point corresponds to the charac…
Hom-Lie structures on Kac-Moody algebras
Abdenacer Makhlouf, Pasha Zusmanovich
We describe Hom-Lie structures on affine Kac-Moody and related Lie algebras, and discuss the question when they form a Jordan algebra.
Cohomology and Deformations of -Lie algebra morphisms
A. Arfa, N. Ben Fraj, A. Makhlouf
The study of -Lie algebras which are natural generalization of Lie algebras is motivated by Nambu Mechanics and recent developments in String Theory and M-branes. The purpose of…