The Matrix Representation of Quasi Centroids of Heisenberg Superalgebra

This article studies the matrix representation of the quasi-centroids of Heisenberg superalgebras. Based on the definition of Heisenberg superalgebras and quasi-centroids, a matrix representation of quasi- centroids of Heisenberg superalgebras with even center is studied by using the method of solving system of linear equations and supersymmetry operation of Lie superalgebras. Finally, a matrix representation of the quasi centroids of a Heisenberg superalgebra with an odd center is obtained through similar calculations.