Abstract: Some new representations of the supersymmetric transformations are derived and the supermultiplets are introduced.Then various formulations (equations,commutation relations,propagators, Jacobi identities,etc) of bosons and fermions may be unified.On the one hand,the mathematical characteristic of particles is proposed:bosons correspond to real number,and fermions correspond to imaginary number,respectively.Then fermions of even(or odd) number form bosons (or fermions),which is just consistent with a relation between imaginary and real number.The imaginary number is only included in the equations,forms,and matrixes of fermions.It is connected with relativity.On the other hand, the unified forms of supersymmetry are connected with the statistics unifying Bose Einstein and Fermi Dirac statistics and the possible violation of Pauli exclusion principle.Therefore,one of the possible developments in particle physics would be the higher dimensional complex space.