Operadic approach to HNN-extensions of Leibniz algebras

Operadic approach to HNN-extensions of Leibniz algebras

We construct HNN-extensions of Lie di-algebras in the variety of di-algebras and provide a presentation for the replicated HNN-extension of a Lie di-algebras. Then, by applying the method of Gr\"obner-Shirshov bases for replicated algebras, we obtain a linear basis. As an application of HNN-ext...

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Veröffentlicht in:arXiv.org 2022-03
Hauptverfasser: Klein, Georg, Chia Zargeh
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
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Zusammenfassung:We construct HNN-extensions of Lie di-algebras in the variety of di-algebras and provide a presentation for the replicated HNN-extension of a Lie di-algebras. Then, by applying the method of Gr\"obner-Shirshov bases for replicated algebras, we obtain a linear basis. As an application of HNN-extensions, we prove that Lie di-algebras are embedded in their HNN-extension.
ISSN:2331-8422