A twisted generalization of Novikov-Poisson algebras
Donald Yau
TL;DR
This paper introduces Hom-Novikov-Poisson algebras as twisted generalizations of Novikov-Poisson algebras, exploring their properties, tensor products, twistings, and conditions for forming Hom-Poisson algebras.
Contribution
It establishes the closure properties of Hom-Novikov-Poisson algebras and provides criteria for their relation to Hom-Poisson algebras.
Findings
Hom-Novikov-Poisson algebras are closed under tensor products.
They are stable under several types of twistings.
Necessary and sufficient conditions for forming Hom-Poisson algebras are identified.
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology