English

HNN-extension of Lie superalgebras

Rings and Algebras 2026-01-27 v1

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.

Keywords

Cite

@article{arxiv.2601.17505,
  title  = {HNN-extension of Lie superalgebras},
  author = {Manuel Ladra and Pilar Páez-Guillán and Chia Zargeh},
  journal= {arXiv preprint arXiv:2601.17505},
  year   = {2026}
}

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11 pages