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arxiv: 1407.6775 · v2 · pith:AIKQG73Onew · submitted 2014-07-25 · 🧮 math.RA

Solvable quadratic Lie algebras of dimensions leq 8

classification 🧮 math.RA
keywords algebrasdimensionssolvablealgebraicallybilinearclassificationclassifyclosed
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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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