Orders of Lie algebras over domains
Ore sets in enveloping algebras
Oresche Teilmengen in Einhüllenden Algebren.
Orthogonal Gelfand-Zetlin algebras. I.
Orthogonal symmetric pairs and the Rouvière isomorphism. (Paires symétriques orthogonales et isomorphisme de Rouvière.)
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.