Non-commutative Hom-Poisson algebras
Rings and Algebras
2010-10-19 v1 Mathematical Physics
math.MP
Abstract
A Hom-type generalization of non-commutative Poisson algebras, called non-commutative Hom-Poisson algebras, are studied. They are closed under twisting by suitable self-maps. Hom-Poisson algebras, in which the Hom-associative product is commutative, are closed under tensor products. Through (de)polarization Hom-Poisson algebras are equivalent to admissible Hom-Poisson algebras, each of which has only one binary operation. Multiplicative admissible Hom-Poisson algebras are Hom-power associative.
Cite
@article{arxiv.1010.3408,
title = {Non-commutative Hom-Poisson algebras},
author = {Donald Yau},
journal= {arXiv preprint arXiv:1010.3408},
year = {2010}
}
Comments
23 pages