Structures and Low Dimensional Classifications of Hom-Poisson Superalgebras

Qingcheng Zhang, Chunyue Wang and Zhu Wei

Advances in Mathematical Physics, 2015, vol. 2015, 1-11

Abstract:

Hom-Poisson superalgebras can be considered as a deformation of Poisson superalgebras. We prove that Hom-Poisson superalgebras are closed under tensor products. Moreover, we show that Hom-Poisson superalgebras can be described using only the twisting map and one binary operation. Finally, all algebra endomorphisms on 2-dimensional complex Poisson superalgebras are computed, and their associated Hom-Poisson superalgebras are described explicitly.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:354341

DOI: 10.1155/2015/354341

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