(Non-BiHom-Commutative) BiHom-Poisson algebras

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.

References in corpus (2)

• Representations of Bihom-Lie algebras
• Non-commutative Hom-Poisson algebras