Classification of quadratic Lie algebras of low dimension

Abstract

In this paper we give the classification of the irreducible non solvable Lie algebras of dimensions $\le 13$ with nondegenerate, symmetric and invariant bilinear forms.

arXiv comment23 pages

References in corpus (2)

• On the structure of symmetric self-dual Lie algebras
• Quasi-classical Lie algebras and their contractions

Cited by in corpus (3)

• Examples and patterns on quadratic Lie algebras
• Uniqueness of ad-invariant metrics
• Solvable quadratic Lie algebras of dimensions $\le 8$