Yu. Khakimdjanov

Low-dimensional filiform Lie algebras

Abstract We give a complete classification up to isomorphisms of complex filiform Lie algebras of dimension m with m ≤ 11.

On the k-abelian filiform lie algebras

We examines the problem of describing finite-dimensional complex filiform Lie algebras g whose ideal Ckg of the central descending sequence is Abelian. A detailed classification up to isomorphism is made in the case k = 2

Symplectic structures on the filiform Lie algebras

Abstract We give a complete classification of symplectic filiform complex Lie algebras and a description of all their symplectic structures in dimension ≤10.