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Simple Procedure for Determining the Number of Components of an Irreducible Tensor
1.J.‐P. Antoine and D. Speiser, J. Math. Phys. 5, 1226 (1964);
1.J.‐P. Antoine and D. Speiser, 5, 1560 (1964)., J. Math. Phys.
2.M. Hamermesh, Group Theory and its Application to Physical Problems (Addison‐Wesley, Reading, Mass., 1962), p. 198.
3.H. Weyl, Selecta (Birkhäuser Verlag, Basel‐Stuttgart, 1956), p. 262ff.
4.This rule is related to the Frobenius construction of the representations of it is clearly equivalent to the combinatorial rule given by Hamermesh in Ref. 2.
5.A slight complication arises in case the last row has only one block. Its removal then leads to an ‐rowed diagram with a’s given by The simplest procedure is to treat this as an r‐rowed diagram with an empty last row, having a’s given by Then the discussion in the text applies.
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