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arXiv · 2608.04188

Solvable Quadratic Lie algebras up to dimension 7

Pilar Benito·Javier Rández-Ibáñez
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Abstract

The double extension method allows the construction of quadratic Lie algebras from smaller ones. Using this approach, in this work we describe all solvable indecomposable quadratic Lie algebras of dimension at most $7$ over arbitrary fields of characteristic not $2$. In particular, we get complete classifications up to isometric isomorphism over algebraically and real closed fields.

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Pilar Benito, Javier Rández-Ibáñez. 2026-08-04. Solvable Quadratic Lie algebras up to dimension 7. https://arxiv.org/abs/2608.04188

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