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Mathematica and Nilpotent Lie Superalgebras

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Computer Algebra in Scientific Computing CASC 2001

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Abstract

The aim of this work is to study a family of Lie superalgebras which generalize Heisenberg Lie algebras. We prove the existence of a special basis for these superalgebras with arbitrary dimension of even part and dimension of odd part up to three. By using the software Mathematica 4.0 we classify these superalgebras for arbitrary dimension of even part and dimension of odd part up to two.

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Author information

Authors and Affiliations

  1. Dpto. Matemática Aplicada I., Univ. Sevilla, Avda. Reina Mercedes S.N., 41012, Sevilla, Spain

    L. M. Camacho & J. R. Gómez

  2. Dpto. de Matemáticas, Univ. de Extremadura, Avda. de la Universidad S.N., 10071, Cáceres, Spain

    R. M. Navarro

  3. Dpto. Matemáticas. Escuela Politécnica Superior, Universidad de Huelva, Huelva, Spain

    I. Rodríguez

Authors
  1. L. M. Camacho
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  2. J. R. Gómez
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  3. R. M. Navarro
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  4. I. Rodríguez
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Editor information

Editors and Affiliations

  1. Institut für Informatik, Technische Universität München, 80290, München, Germany

    Victor G. Ganzha  & Ernst W. Mayr  & 

  2. Institute of Theoretical and Applied Mathematics, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    Evgenii V. Vorozhtsov

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© 2001 Springer-Verlag Berlin Heidelberg

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Camacho, L.M., Gómez, J.R., Navarro, R.M., Rodríguez, I. (2001). Mathematica and Nilpotent Lie Superalgebras. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing CASC 2001. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56666-0_8

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  • DOI: https://doi.org/10.1007/978-3-642-56666-0_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62684-5

  • Online ISBN: 978-3-642-56666-0

  • eBook Packages: Springer Book Archive

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