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Littlewood's third method of evaluating plethysms is generalized by noting that plethysms determine the branching rules associated with the subgroup decomposition U(N)⊃U(M), and by making use of the well-known branching rule for U(M)⊃U(M−1). This generalization leads to recurrence formulas which are simpler than those due to Murnaghan and to a new method of evaluating plethysms which is free of the ambiguities inherent in the use of Littlewood's third method.
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Butler et al. (1973) studied this question.
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