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Filiform Lie Algebras with Low Derived Length

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Abstract

We construct, for any \(n\ge 5\), a family of complex filiform Lie algebras with derived length at most 3 and dimension n. We also give examples of n-dimensional filiform Lie algebras with derived length greater than 3.

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Acknowledgements

The authors would like to thank the referees for their valuable comments that have improved and clarified the presentation of the paper. This work has been partially supported by MTM2016-75024-P and FEDER, FQM-326 and FQM-333.

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Authors and Affiliations

  1. Departamento de Álgebra e IMUS, Facultad de Matemáticas, Universidad de Sevilla, C/ Tarfia s/n, 41012, Seville, Spain

    F. J. Castro-Jiménez

  2. Departamento de Ingeniería, Universidad Loyola Andalucía, Campus Palmas Altas, C/ Energía Solar 1, Ed. E, Seville, Spain

    M. Ceballos

  3. Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, C/ Tarfia s/n, 41012, Seville, Spain

    J. Núñez-Valdés

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  1. F. J. Castro-Jiménez
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  2. M. Ceballos
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  3. J. Núñez-Valdés
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Correspondence to F. J. Castro-Jiménez.

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Castro-Jiménez, F.J., Ceballos, M. & Núñez-Valdés, J. Filiform Lie Algebras with Low Derived Length. Mediterr. J. Math. 17, 198 (2020). https://doi.org/10.1007/s00009-020-01642-z

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  • DOI: https://doi.org/10.1007/s00009-020-01642-z

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