Structures and Low Dimensional Classifications of Hom‐Poisson Superalgebras

Qingcheng Zhang, Chunyue Wang and Zhu Wei

Advances in Mathematical Physics, 2015, vol. 2015, issue 1

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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https://doi.org/10.1155/2015/354341

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:354341

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