CLASSIFICATION OF 5-DIMENSIONAL MD-ALGEBRAS HAVING NON-COMMUTATIVE DERIVED IDEALS

Abstract

The paper presents a subclass of the class of MD5-algebras and MD5-

groups, i.e. five dimensional solvable Lie algebras and Lie groups such

that their orbits in the co-adjoint representation (K-orbits) are orbits of

zero or maximal dimension. The main result of the paper is the classifica

tion up to an isomorphism of all MD5-algebras having non-commutative

derived ideals.