(Non-BiHom-Commutative) BiHom-Poisson algebras

(Non-BiHom-Commutative) BiHom-Poisson algebras

The aim of this paper is to introduce and study BiHom-Poisson algebras, in particular Non-BiHom-Commutative BiHom-Poisson algebras. We discuss their representation theory and Semi-direct product. Furthermore, we characterize admissible BiHom-Poisson algebras. Finally, we establish the classification...

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Hauptverfasser: Adimi, Hadjer, Amri, Hanene, Mabrouk, Sami, Makhlouf, Abdenacer
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Representation Theory
Mathematics - Rings and Algebras
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Zusammenfassung:The aim of this paper is to introduce and study BiHom-Poisson algebras, in particular Non-BiHom-Commutative BiHom-Poisson algebras. We discuss their representation theory and Semi-direct product. Furthermore, we characterize admissible BiHom-Poisson algebras. Finally, we establish the classification of 2-dimensional BiHom-Poisson algebras.
DOI:10.48550/arxiv.2008.04597