Representations of the Orthogonal Group. I. Lowering and Raising Operators of the Orthogonal Group and Matrix Elements of the Generators
M. K. F. Wong · Journal of Mathematical Physics · 1967
A parallel method to that of Pang and Hecht for the construction of normalized lowering and raising operators for the orthogonal group O(n)⊃O(n−1)⊃…⊃O(2) is presented. The generators are defined in a slightly different way from those of Pang and Hecht, and the lowering and raising operators are constructed without using graphs. The Gel'fand-Zetlin matrix elements of the infinitesimal generators of O(n) have also been obtained.