Abstract
A formula is obtained by which any symmetrized power of (j1,j2) may be expressed in terms of symmetrized powers of representations belonging to lower j values. In particular formulae are obtained for (1/2,J)(X)(2) and (1,J)(X)(2). The method is generalized to cover groups of the form SU(2)*SU(2)*...(r times). This problem has application to the L-S coupling shell model of nuclear physics.
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