We first consider Lorentz transformations, which use these transformations to review events in the light cone that are divided into two categories, space-like and time-like, and the relationship between them, as well as Lorentz transformations for calculations. We review the sum of the velocities. Invariant and covariant tensors and the multiplication properties of these tensors can be used to study the specific geometry of space-time and by introducing the rotation and oscillation parameters, we review the conversion matrix. The Lagrange and Hamiltonian equations are a suitable way to obtain the equation of motion of a free particle, which we study the canonical stress tensor using the Hamiltonian density. By synchronization the canonical stress tensor and using the conservation laws, we review the symmetric stress tensor in the presence and absence of the current source. The concept of operator index is used to study the boson and fermion states of Hilbert space in supersymmetric failure, and by defining new fermion operators, we study new states. Graduated and Lorentz homogeneous group algebra is a suitable solution for the study of supersymmetric algebra and we study supersymmetric algebra using the Haag-Lopuszanski-Sohnius theorem at N = 1.