A BiHom-associative algebra is a (nonassociative) algebra A endowed with two commuting multiplicative linear maps α,β:A→A such that α(a)(bc)=(ab)β(c), for all a,b,c∈A. This concept arose in the study of algebras in so-called group Hom-categories. In this paper, we introduce as well BiHom-Lie algebras (also by using the categorical approach) and BiHom-bialgebras. We discuss these new structures by presenting some basic properties and constructions (representations, twisted tensor products, smash products etc).
BiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras
MENINI, Claudia;
2015
Abstract
A BiHom-associative algebra is a (nonassociative) algebra A endowed with two commuting multiplicative linear maps α,β:A→A such that α(a)(bc)=(ab)β(c), for all a,b,c∈A. This concept arose in the study of algebras in so-called group Hom-categories. In this paper, we introduce as well BiHom-Lie algebras (also by using the categorical approach) and BiHom-bialgebras. We discuss these new structures by presenting some basic properties and constructions (representations, twisted tensor products, smash products etc).File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
sigma15-086.pdf
accesso aperto
Descrizione: Articolo completo stampato
Tipologia:
Full text (versione editoriale)
Licenza:
Creative commons
Dimensione
537.83 kB
Formato
Adobe PDF
|
537.83 kB | Adobe PDF | Visualizza/Apri |
I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
