A twisted generalization of Novikov-Poisson algebras

Abstract

Hom-Novikov-Poisson algebras, which are twisted generalizations of Novikov-Poisson algebras, are studied. Hom-Novikov-Poisson algebras are shown to be closed under tensor products and several kinds of twistings. Necessary and sufficient conditions are given under which Hom-Novikov-Poisson algebras give rise to Hom-Poisson algebras.

21 pages

References in corpus (4)

• Hom-algebras and homology
• Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras
• Non-commutative Hom-Poisson algebras
• Hom-power associative algebras

Cited by in corpus (2)

• Hom-Novikov Algebras and Hom-Novikov-Poisson Algebras
• Hom-Novikov color algebras