Structures and Low Dimensional Classifications of Hom-Poisson Superalgebras

Abstract EN

Hom-Poisson superalgebras can be considered as a deformation ofPoisson superalgebras.

We prove that Hom-Poisson superalgebras areclosed under tensor products.

Moreover, we show that Hom-Poissonsuperalgebras can be described using only the twisting map and onebinary operation.

Finally, all algebra endomorphisms on 2-dimensionalcomplex Poisson superalgebras are computed, and their associatedHom-Poisson superalgebras are described explicitly.