About parametric representations of SO(n) matrices and plane rotations Available to Purchase

Since a long time the group SO(n) is of a great interest in physics (space relativity theory, quantum electrodynamics, theory of elementary particles) and mechanics because of its numerous applications to problems of monitoring of unknown nonlinear systems. The present paper treats the basic theory of this group and it is shown that any transformation of the group SO(n) may be presented as a product of plane transformations in clear analytical forms, appropriate for practical applications. The approach presented here is inspired by the close analogy of plane rotations with the vector-parameterization of the SO(3) group.