30 citations · 98 across the 34 of their papers we have counts for
34 papers
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…
Examples of nonalgebraic nilpotent Lie algebra
Elisabeth Remm, Michel Goze
We describe some examples of non abelian nilpotent Lie algebras which are not algebraic.
On the algebraic variety of Hom-Lie algebras
Elisabeth Remm, Michel Goze
The set HLie(n) of the n-dimensional Hom-Lie algebras over an algebraically closed field of characteristic zero is provided with a structure of algebraic subvariety of the affine p…
Symplectic structures on 2-step nilpotent Lie algebras
Elisabeth Remm, Michel Goze
We study symplectic structures on nilpotent Lie algebras. Since the classification of nilpotent Lie algebras in any dimension seems to be a crazy dream, we approach this study in c…
k-Step Nilpotent Lie Algebras
Michel Goze, Elisabeth Remm
The classification of complex of real finite dimensional Lie algebras which are not semi simple is still in its early stages. For example the nilpotent Lie algebras are classified…
Pseudo-Riemannian Symmetries on Heisenberg groups
Michel Goze, Paola Piu, Elisabeth Remm
The notion of -symmetric space is a natural generalization of the classical notion of symmetric space based on -grading of Lie algebras. In our case, we consider homogeneo…