HNN-extension of involutive multiplicative Hom-Lie algebras

HNN-extension of involutive multiplicative Hom-Lie algebras

The construction of HNN-extensions of involutive Hom-associative algebras and involutive Hom-Lie algebras is described. Then, as an application of HNN-extension, by using the validity of Poincaré-Birkhoff-Witt theorem for involutive Hom-Lie algebras, we provide an embedding theorem.

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Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2021-01
Hauptverfasser: Silvestrov, Sergei, Chia Zargeh
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie groups
Theorems
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Zusammenfassung:The construction of HNN-extensions of involutive Hom-associative algebras and involutive Hom-Lie algebras is described. Then, as an application of HNN-extension, by using the validity of Poincaré-Birkhoff-Witt theorem for involutive Hom-Lie algebras, we provide an embedding theorem.
ISSN:2331-8422