Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/12258
| Títulos: | Generalized representations of 3-Hom-Lie algebras |
| Autores/as: | Mabrouk, S. Makhlouf, A. Massoud, S. |
| Palabras clave: | 3-Hom-Lie algebra;Representation;Generalized representation;Cohomology;Álgebra de 3-Hom-Lie;Abelian extension;Representación;Representación generalizada;Cohomología;Extensión abeliana |
| Fecha de publicación: | 2020 |
| Editor/a: | Universidad de Extremadura |
| Resumen: | The propose of this paper is to extend generalized representations of 3-Lie algebras to Hom-type algebras. We introduce the concept of generalized representation of multiplicative 3- Hom-Lie algebras, develop the corresponding cohomology theory and study semi-direct products. We provide a key construction, various examples and computation of 2-cocycles of the new cohomology. Also, we give a connection between a split abelian extension of a 3-Hom-Lie algebra and a generalized semidirect product 3-Hom-Lie algebra. |
| URI: | http://hdl.handle.net/10662/12258 |
| DOI: | 10.17398/2605-5686.35.1.99 |
| Colección: | Extracta Mathematicae Vol. 35, nº 1 (2020) |
Archivos
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| 2605-5686_35_1_99.pdf | 443,66 kB | Adobe PDF | Descargar |
Este elemento está sujeto a una licencia Licencia Creative Commons
