Analyticité et itères d'un système de champs non elliptique
Asymptotic Behaviour of Colength of Varieties of Lie Algebras
This project was partially supported by RFBR, grants 99-01-00233, 98-01-01020 and 00-15-96128.We study the asymptotic behaviour of numerical characteristics of polynomial identities of Lie algebras over a field of characteristic 0. In particular we investigate the colength for the cocharacters of polynilpotent varieties of Lie algebras. We prove that there exist polynilpotent Lie varieties with exponential and overexponential colength growth. We give the exact asymptotics for the colength of a product...
Automorphisms of free nilpotent associative algebras.
-structure on the Cohomology of the Free 2-Nilpotent Lie Algebra
Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras.
In this work the properties of Cartan subalgebras and weight spaces of finite dimensional Lie algebras are extended to the case of Leibniz algebras. Namely, the relation between Cartan subalgebras and regular elements are described, also an analogue of Cartan s criterion of solvability is proved.
Characteristically nilpotent Lie Algebras: a survey.
Classes of Lie algebras and Cartan subalgebras.
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 4-dimensional nilpotent complex Leibniz algebras.
Classification of filiform Lie algebras in dimension 8.
Classification of solvable Lie algebras.
Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
Cohomology groups of reduced enveloping algebras.
Cohomology of Bimodules Over Enveloping Algebras.
Cohomology of some nilpotent Lie algebras.
Complex nilpotent Lie algebras of dimension 7 which are not derived from others.
Computing the test rank of a free solvable Lie algebra.
Conditions for nilpotency of Lie rings.
Conditions for nilpotency of Lie rings. II.
Control affine systems on solvable three-dimensional Lie groups, I
We seek to classify the full-rank left-invariant control affine systems evolving on solvable three-dimensional Lie groups. In this paper we consider only the cases corresponding to the solvable Lie algebras of types II, IV, and V in the Bianchi-Behr classification.