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A Method for Classifying Filiform Lie Superalgebras

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Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1 (LT-XII/QTS-X 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 263))

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Abstract

Throughout the present work the latest contributions in determining filiform Lie superalgebras are reviewed. Filiform Lie superalgebras constitute itselves a very important type of nilpotent Lie superalgebras and their classification is at present and open and unsolved problem. Furthermore, the aforementioned contributions are mainly based on an adequate use of infinitesimal deformations of the model filiform Lie superalgebra.

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Acknowledgements

First author was supported by Agencia Estatal de Investigación (Spain), grant MTM2016-79661-P (European FEDER support included, UE). Second author was supported by the PCI of the UCA ‘Teoría de Lie y Teoría de Espacios de Banach’, by the PAI with project number FQM298.

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Authors and Affiliations

  1. Dpto. de Matemáticas, Universidad de Extremadura, Cáceres, Spain

    Rosa M. Navarro

  2. Departamento de Matemáticas, Universidad de Cádiz, Campus de Puerto Real, Puerto Real, 11510, Cádiz, Spain

    José M. Sánchez

Authors
  1. Rosa M. Navarro
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  2. José M. Sánchez
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Correspondence to Rosa M. Navarro .

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Editors and Affiliations

  1. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Vladimir Dobrev

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Navarro, R.M., Sánchez, J.M. (2018). A Method for Classifying Filiform Lie Superalgebras. In: Dobrev, V. (eds) Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1 . LT-XII/QTS-X 2017. Springer Proceedings in Mathematics & Statistics, vol 263. Springer, Singapore. https://doi.org/10.1007/978-981-13-2715-5_29

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