When Hom-Lie structures form a Jordan algebra

When Hom-Lie structures form a Jordan algebra

We are concerned with the question when Hom-Lie structures on a Lie algebra are closed with respect to the Jordan product. Somewhat unexpectedly, this leads us to certain questions connected with the Yang-Baxter equation, and with decomposition of a Lie algebra into the sum of subalgebras with given...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2022-11
1. Verfasser: Zusmanovich, Pasha
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie groups
Mathematics - Rings and Algebras
Questions
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We are concerned with the question when Hom-Lie structures on a Lie algebra are closed with respect to the Jordan product. Somewhat unexpectedly, this leads us to certain questions connected with the Yang-Baxter equation, and with decomposition of a Lie algebra into the sum of subalgebras with given properties.
ISSN:2331-8422
DOI:10.48550/arxiv.2211.06631