Cohomology and formal deformations of $n$-Hom–Lie color algebras
UDC 512.5 The aim of this paper is to provide a cohomology of $n$-Hom–Lie color algebras, in particular,  a cohomology governing one-parameter formal deformations.  Then we also study formal deformations of the $n$-Hom–Lie color algebras and introduce the notio...
Gespeichert in:
| Datum: | 2023 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2023
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7238 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: | |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 512.5
The aim of this paper is to provide a cohomology of $n$-Hom–Lie color algebras, in particular,  a cohomology governing one-parameter formal deformations.  Then we also study formal deformations of the $n$-Hom–Lie color algebras and introduce the notion of Nijenhuis operator on a $n$-Hom–Lie color algebra, which may give rise to infinitesimally trivial $(n-1)$-order deformations.  Furthermore, in connection with Nijenhuis operators, we introduce and discuss the notion of product structure  on $n$-Hom–Lie color algebras. |
|---|---|
| DOI: | 10.3842/umzh.v75i9.7238 |