Resumen de Representations of codimention one non-abelian nilradical Lie algebras

Mahmoud Rawashdeh, G. Thompson

• A Theorem is proved that shows that for a solvable Lie algebra h of dimension n+2 whose nilradical is codimension one and for which the nilradical has a one-dimensional derived algebra there is a subgroup of GL(n+2;R) whose Lie algebra is isomorphic to h. The Theorem helps to give a more conceptual understanding of the classi¯cation of the algebras in dimensions four, ¯ve and six. Finally the main Theorem is applied to a particularly interesting class of algebras for which the nilradical is isomorphic to the ¯ve-dimensional Heisenberg algebra.