Startseite Mathematik Varieties of nilpotent Lie superalgebras of dimension ≤ 5
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Varieties of nilpotent Lie superalgebras of dimension ≤ 5

  • María Alejandra Alvarez ORCID logo EMAIL logo und Isabel Hernández ORCID logo
Veröffentlicht/Copyright: 17. Januar 2020

Abstract

In this paper, we study the varieties of nilpotent Lie superalgebras of dimension 5. We provide the algebraic classification of these superalgebras and obtain the irreducible components in every variety. As a byproduct, we construct rigid nilpotent Lie superalgebras of arbitrary dimension.

MSC 2010: 17B30; 17B56; 17B99

Communicated by Karl-Hermann Neeb


Award Identifier / Grant number: ANT 1755

Award Identifier / Grant number: FPI-18-02

Award Identifier / Grant number: YUC-2013-C14-221183

Award Identifier / Grant number: YUC-2013-C14-222870

Funding statement: M. A. Alvarez was supported by MINEDUC-UA project, code ANT 1755 and “Fondo Puente de Investigación de Excelencia” FPI-18-02 from University of Antofagasta. I. Hernández was supported by grants FOMIX-CONACYT YUC-2013-C14-221183 and 222870.

Acknowledgements

Both authors thank Prof. A. Fellouris for pointing us out a mistake in an earlier version of this article.

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Received: 2019-09-04
Published Online: 2020-01-17
Published in Print: 2020-05-01

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Heruntergeladen am 4.2.2026 von https://www.degruyterbrill.com/document/doi/10.1515/forum-2019-0244/pdf
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