On the computation formulas of the SO(n−1,1) representation matrix elements
Takayoshi Maekawa · Journal of Mathematical Physics · 1978
The formulas for computing the boost matrix elements are found for all classes of the unitary irreducible representations of SO(n−1,1) by defining the invariant scalar product in the space consisting of the D functions of SO(n−1) and assuming that functions with some property exist for the complementary series. The normalization constants of the bases are completely determined by requiring that the boost matrix elements in the finite transformations agree with those obtained by the method of the infinitesimal operators in the infinitesimal transformations.