| Autor: |
Adimi, H., Chtioui, T., Mabrouk, S., Massoud, S. |
| Zdroj: |
Rendiconti del Circolo Matematico di Palermo (Series 2); Apr2023, Vol. 72 Issue 3, p2137-2157, 21p |
| Abstrakt: |
The main goal of this paper is to give some construction results of BiHom-post-Lie algebras which are a generalization of both post-Lie-algebras and Hom-post-Lie algebras. They are the algebraic structures behind the weighted O -operator of BiHom-Lie algebras. They can be also regarded as the splitting into three parts of the structure of a BiHom-Lie-algebra. Moreover we develop the representation theory of BiHom-post-Lie algebras on a vector space V. We show that there is naturally an induced representation of its sub-adjacent Lie algebra. We give also all 2-dimensional BiHom-post-Lie algebras. We exhibit in this work some important examples of post-Lie algebras and Hom-post-Lie algebras. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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