English

(Non-BiHom-Commutative) BiHom-Poisson algebras

Rings and Algebras 2020-08-12 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.2008.04597,
  title  = {(Non-BiHom-Commutative) BiHom-Poisson algebras},
  author = {Hadjer Adimi and Hanene Amri and Sami Mabrouk and Abdenacer Makhlouf},
  journal= {arXiv preprint arXiv:2008.04597},
  year   = {2020}
}
R2 v1 2026-06-23T17:46:23.059Z