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
Hauptverfasser: Silvestrov, Sergei, Zargeh, Chia
Format: Buchkapitel
Sprache:eng
Schlagworte:
17B61
17D30
HNN-extension
Hom-associative algebra
Hom-Lie algebra
Involution
matematik/tillämpad matematik
Mathematics/Applied Mathematics
Poincaré-Birkhoff-Witt theorem
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Beschreibung
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:2194-1009
2194-1017
DOI:10.1007/978-3-031-32009-5_29