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Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras

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Algebra, Geometry and Mathematical Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 85))

Abstract

The aim of this paper is to compare the structure and the cohomology spaces of Lie algebras and induced \(3\)-Lie algebras.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Linköping University, 581 83, Linköping, Sweden

    Joakim Arnlind

  2. Université de Haute-Alsace, 4 rue des Frères Lumière, 68093, Mulhouse, France

    Abdennour Kitouni & Abdenacer Makhlouf

  3. Mälardalens Högskola, Box 883, 721 23, Västerås, Sweden

    Sergei Silvestrov

Authors
  1. Joakim Arnlind
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  2. Abdennour Kitouni
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  3. Abdenacer Makhlouf
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  4. Sergei Silvestrov
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Corresponding author

Correspondence to Abdennour Kitouni .

Editor information

Editors and Affiliations

  1. Informatique et Applications, Université of Haute Alsace, Laboratoire de Mathématiques, Mulhouse, France

    Abdenacer Makhlouf

  2. Tallinn University of Technology, Dept. Mathematics, Tallinn, Estonia

    Eugen Paal

  3. Culture and Communication (UKK) Division of Applied Mathematics, Mälardalen University, The School of Education, Västerås, Sweden

    Sergei D. Silvestrov

  4. Dept. Mathematical Sciences, University of Göteborg, Göteborg, Sweden

    Alexander Stolin

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Arnlind, J., Kitouni, A., Makhlouf, A., Silvestrov, S. (2014). Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras. In: Makhlouf, A., Paal, E., Silvestrov, S., Stolin, A. (eds) Algebra, Geometry and Mathematical Physics. Springer Proceedings in Mathematics & Statistics, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55361-5_9

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