5
votes
Accepted
Reference for irreducible representations of $\mathcal{O}(n)\ni O\mapsto O^{\otimes k}$
This is, for example, Theorem 2.12 of
Coifman, R. R.; Weiss, G., Representations of compact groups and spherical harmonics, Enseign. Math., II. Sér. 14, 121-173 (1968). ZBL0174.18902.
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