(Non-BiHom-Commutative) BiHom-Poisson algebras

Published 11 Aug 2020 in math.RA and math.RT | (2008.04597v1)

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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