HNN-Extension of Lie Superalgebras

HNN-Extension of Lie Superalgebras

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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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2020-03, Vol.43 (2), p.1959-1970
Hauptverfasser: Ladra, Manuel, Páez-Guillán, Pilar, Zargeh, Chia
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-019-00783-z