Rota-Baxter Operators And Hom-structure On Heisenberg Lie Superalgebras Of Dimension Five

According to the classification method of the parity of the Heisenberg Lie super-algebras' central element,we characterize all the Rota-Baxter operators of the five dimensional Heisenberg Lie superalgebras b1,2 and b2 on algebraically closed fields of characteristic 0 by calculating.And according to the definition of Hom-Lie super-algeras,we compute all the Hom-structure of the Heisenberg Lie superalgebrasb1,2 and b2.Heisenberg Lie superalgebras have played important roles in the physical and mathematical field,the result in this paper contribute to better understanding such algebras.