New Examples of Binary Lie Superalgebras and Algebras

New Examples of Binary Lie Superalgebras and Algebras

New constructions of prime binary Lie superalgebras are presented. Based on one of these, we construct the first example of a prime binary Lie algebra that is not a Mal’tsev algebra.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Algebra and logic 2022, Vol.60 (6), p.366-374
Hauptverfasser: Grishkov, A. N., Shestakov, I. P., Rasskazova, M. N.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie groups
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:New constructions of prime binary Lie superalgebras are presented. Based on one of these, we construct the first example of a prime binary Lie algebra that is not a Mal’tsev algebra.
ISSN:0002-5232
1573-8302
DOI:10.1007/s10469-022-09663-1