Classification des algèbres de Lie filtrées
Classification des algèbres de Lie graduées simples de croissance ... 1.
Classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center
A Lie algebra is called 2-step nilpotent if is not abelian and lies in the center of . 2-step nilpotent Lie algebras are useful in the study of some geometric problems, and their classification has been an important problem in Lie theory. In this paper, we give a classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center.
Classification of filiform Lie algebras in dimension 8.
Computations in finite-dimensional Lie algebras.
Contractions of Poisson-Lie groups, Lie bialgebras and quantum deformations
Contractions of Poisson-Lie groups are introduced by using Lie bialgebra contractions. As an application, contractions of SL(2,R) Poisson-Lie groups leading to (1+1) Poincaré and Heisenberg structures are analysed. It is shown how the method here introduced allows a systematic construction of the Poisson structures associated to non-coboundary Lie bialgebras. Finally, it is sketched how contractions are also implemented after quantization by using the Lie bialgebra approach.
Covering-Avoidance for Satured Formations of Solvable Lie Algebras.
Cyclotomic identities, Lie superalgebras and bicharacters. (Identité cyclotomique, superalgèbres de Lie et bicaractères.)