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arXiv · 1803.00934

Quadratic 2-step Lie algebras: Computational algorithms and classification

Pilar Benito·Daniel de-la-Concepción·Jorge Roldán-López·Iciar Sesma
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Abstract

Taking into account the theoretical results and guidelines given inthis work, we introduce a computational method to construct any 2 step nilpotent quadratic algebra of d generators. Along the work we show that the key of the classification of this class of metric algebras relies on certain families of skewsymmetric matrices. Computational examples for d<=8 will be given.

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Pilar Benito, Daniel de-la-Concepción, Jorge Roldán-López, Iciar Sesma. 2018-03-02. Quadratic 2-step Lie algebras: Computational algorithms and classification. https://doi.org/10.1016/j.jsc.2018.07.001

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