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Isomorphism and Isotopism Classes of Filiform Lie Algebras of Dimension up to Seven Over Finite Fields

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This paper deals with a new series of isotopism invariants that enable us to determine explicitly the distribution of n-dimensional filiform Lie algebras into isomorphism and isotopism classes. For \(n\le 6\), this distribution is explicitly obtained over any field. For \(n=7\), this is determined over algebraically closed fields and over finite fields.

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Authors and Affiliations

  1. Department of Geometry and Topology, Faculty of Mathematics, University of Seville, Seville, Spain

    O. J. Falcón & J. Núñez

  2. Department of Applied Mathematics I, School of Building Engineering, University of Seville, Seville, Spain

    R. M. Falcón

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  1. O. J. Falcón
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  2. R. M. Falcón
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  3. J. Núñez
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Correspondence to R. M. Falcón.

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Falcón, O.J., Falcón, R.M. & Núñez, J. Isomorphism and Isotopism Classes of Filiform Lie Algebras of Dimension up to Seven Over Finite Fields. Results Math 71, 1151–1166 (2017). https://doi.org/10.1007/s00025-016-0616-x

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