Invariants of the representations of the group of pseudo-orthogonal matrices, SO( p, q)

Abstract

The irreducible unitary representations of the group SO( p, q) are investigated by a method based on a study of invariant bilinear functionals. The invariant polylinear functionals are constructed. Integral representations are obtained for the Wigner coefficients and for the crossing symmetrical conformal invariant four-point Green function.