Abstract
The problem of finding irreducible representations of a simple Lie group that decompose into just pure replications of a representation of a subgroup is considered. Replications involving tensor representations of the orthogonal groups are studied in detail using counting groups whose representation dimensions correspond to branching multiplicities. Replications involving spinor and mixed tensor representations are briefly considered.
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Wybourne, B.G. Branching rules and replicating representations. Found Phys 13, 175–182 (1983). https://doi.org/10.1007/BF01889419
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DOI: https://doi.org/10.1007/BF01889419