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Quadratic 2-step Lie algebras: Computational algorithms and classification (1803.00934v1)
Published 2 Mar 2018 in math.RA
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.
