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Solvable quadratic Lie algebras of dimensions $\leq 8$

Published 25 Jul 2014 in math.RA | (1407.6775v2)

Abstract: In this paper, we classify solvable Lie algebras of dimensions $\leq 8$ 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.

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