(Non-BiHom-Commutative) BiHom-Poisson algebras
Hadjer Adimi, Hanene Amri, Sami Mabrouk, Abdenacer Makhlouf
TL;DR
This paper introduces and studies BiHom-Poisson algebras, focusing on non-commutative cases, their representations, semi-direct products, admissibility, and classifies 2-dimensional instances.
Contribution
It presents the first comprehensive study of Non-BiHom-Commutative BiHom-Poisson algebras, including their structure, representations, and classification.
Findings
Characterization of admissible BiHom-Poisson algebras
Classification of 2-dimensional BiHom-Poisson algebras
Development of representation theory and semi-direct products
Abstract
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Operator Algebra Research