Solvable quadratic Lie algebras of dimensions $\le 8$

Abstract

In this paper, we classify solvable Lie algebras of dimensions $\le 8$ endowed with a nondegenerate invariant symmetric bilinear form over an algebraically closed field. This classification (up to isometrically isomorphisms) is mainly based on the double extension method.

19 pages

References in corpus (2)

• Nilpotent metric Lie algebras of small dimension
• Classification of quadratic Lie algebras of low dimension