Tensor products and perturbations of BiHom-Novikov-Poisson algebras
Ling Liu, Abdenacer Makhlouf, Claudia Menini, Florin Panaite
TL;DR
This paper explores the structure of BiHom-Novikov-Poisson algebras, demonstrating their stability under tensor products and perturbations, and establishing conditions for their relation to BiHom-Poisson algebras.
Contribution
It introduces the concept of BiHom-Novikov-Poisson algebras and analyzes their closure properties and conditions linking them to BiHom-Poisson algebras.
Findings
BiHom-Novikov-Poisson algebras are closed under tensor products.
They are stable under several types of perturbations.
Conditions are provided for these algebras to form BiHom-Poisson algebras.
Abstract
We study BiHom-Novikov-Poisson algebras, which are twisted generalizations of Novikov-Poisson algebras and Hom-Novikov-Poisson algebras, and find that BiHom-Novikov-Poisson algebras are closed under tensor products and several kinds of perturbations. Necessary and sufficient conditions are given under which BiHom-Novikov-Poisson algebras give rise to BiHom-Poisson algebras.
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