A Twisted Generalization of Lie-Yamaguti Algebras
| Autor: | Gaparayi, Donatien, A. Nourou, Issa |
|---|---|
| Přispěvatelé: | Gaparayi, Donatien |
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Malcev algebra
Hom-Lie algebra Hom-Nambu algebra Mathematics::Category Theory Lie triple algebra) Mathematics::Rings and Algebras Physics::Accelerator Physics [MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM] Lie-Yamaguti algebra (i.e. generalized Lie triple system Hom-Akivis algebra Hom-Lie triple system |
| Popis: | A twisted generalization of Lie-Yamaguti algebras, called Hom-Lie-Yamaguti algebras, is defined. Hom-Lie-Yamaguti algebras generalize multiplicative Hom-Lie triple systems (and subsequently ternary mul- tiplicative Hom-Nambu algebras) and Hom-Lie algebras in the same way as Lie-Yamaguti algebras generalize Lie triple systems and Lie algebras. It is shown that the category of (multiplicative) Hom-Lie- Yamaguti algebras is closed under twisting by self-morphisms. Con- structions of Hom-Lie-Yamaguti algebras from ordinary Lie-Yamaguti algebras and Malcev algebras are given. Using the well-known classifi- cation of real two-dimensional Lie-Yamaguti algebras, examples of real two-dimensional Hom-Lie-Yamaguti algebras are given. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|