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HNN-Extension of Lie Superalgebras

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Abstract

We construct HNN-extensions of Lie superalgebras and prove that every Lie superalgebra embeds into any of its HNN-extensions. Then as an application we show that any Lie superalgebra with at most countable dimension embeds into a two-generator Lie superalgebra.

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Acknowledgements

We thank the referees for the helpful comments and suggestions that contributed to improving this paper. The authors were supported by Agencia Estatal de Investigación (Spain), Grant MTM2016-79661-P (European FEDER support included, UE). P. Páez-Guillán was also supported by FPU16/05953 scholarship, Ministerio de Ciencia, Innovación y Universidades (Spain).

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Authors and Affiliations

  1. Departamento de Matemáticas, Instituto de Matemáticas, Universidade de Santiago, Santiago de Compostela, Spain

    Manuel Ladra & Pilar Páez-Guillán

  2. Departamento de Matemáticas, Instituto de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Spain

    Chia Zargeh

  3. Departamento de Matemática, UFBA, Avenida Adhemar de Barros, Salvador, BA, 40170-110, Brazil

    Chia Zargeh

Authors
  1. Manuel Ladra
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  2. Pilar Páez-Guillán
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  3. Chia Zargeh
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Correspondence to Manuel Ladra.

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Shiping Liu.

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Ladra, M., Páez-Guillán, P. & Zargeh, C. HNN-Extension of Lie Superalgebras. Bull. Malays. Math. Sci. Soc. 43, 1959–1970 (2020). https://doi.org/10.1007/s40840-019-00783-z

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  • DOI: https://doi.org/10.1007/s40840-019-00783-z

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