On derivations of Lie algebras
On derivations of nilpotent Lie algebras.
On nilpotent filiform Lie algebras of dimension eight.
On quantum and classical Poisson algebras
Results on derivations and automorphisms of some quantum and classical Poisson algebras, as well as characterizations of manifolds by the Lie structure of such algebras, are revisited and extended. We prove in particular a somewhat unexpected fact that the algebras of linear differential operators acting on smooth sections of two real vector bundles of rank 1 are isomorphic as Lie algebras if and only if the base manifolds are diffeomorphic, whether or not the line bundles themselves are isomorphic....
On solvability of Lie rings with an automorphism of finite order.
On the Chevalley restriction theorem.
On the Lie algebra of vertical prolongation operators
Orbites d'un groupe algébrique dans l'espace des idéaux rationnels d'une algèbre enveloppante
Outer endomorphisms of free metabelian Lie algebras
2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.Let Fm be the free metabelian Lie algebra of rank m over a field K of characteristic 0. We consider the semigroup IE(Fm) of the endomorphisms of Fm which are identical modulo the commutator ideal of Fm. We describe the factor semigroup of IE(Fm) modulo the congruence induced by the group of inner automorphisms.