Geodesic
Multiplicities in the Tensor Product of Finite-Dimensional Representations of Discrete Groups
Canadian mathematical bulletin, Tome 21 (1978) no. 1, pp. 17-19

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Let G be a group and ρ and σ two irreducible unitary representations of G in complex Hilbert spaces and assume that dimp ρ= n < ∞. D. Poguntke [2] proved that is a sum of at most n2 irreducible subrepresentations. The case when dim a is also finite he attributed to R. Howe.We shall prove analogous results for arbitrary finite-dimensional representations, not necessarily unitary. Thus let F be an algebraically closed field of characteristic 0. We shall use the language of modules and we postulate that allour modules are finite-dimensional as F-vector spaces. The field F itself will be considered as a trivial G-module. 
Djoković, Dragomir Ž. Multiplicities in the Tensor Product of Finite-Dimensional Representations of Discrete Groups. Canadian mathematical bulletin, Tome 21 (1978) no. 1, pp. 17-19. doi: 10.4153/CMB-1978-004-0
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     title = {Multiplicities in the {Tensor} {Product} of {Finite-Dimensional} {Representations} of {Discrete} {Groups}},
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     year = {1978},
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