HNN-extension of Lie superalgebras

Fuente: arXiv
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Auteurs principaux: Ladra, Manuel, Páez-Guillán, Pilar, Zargeh, Chia
Format: Preprint
Publié: 2026
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author Ladra, Manuel
Páez-Guillán, Pilar
Zargeh, Chia
author_facet Ladra, Manuel
Páez-Guillán, Pilar
Zargeh, Chia
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_17505
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle HNN-extension of Lie superalgebras
Ladra, Manuel
Páez-Guillán, Pilar
Zargeh, Chia
Rings and Algebras
17A36, 17B01, 17B35, 16S15
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.
title HNN-extension of Lie superalgebras
topic Rings and Algebras
17A36, 17B01, 17B35, 16S15
url https://arxiv.org/abs/2601.17505