Abstract
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.
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