We solve the Clebsch–Gordan problem for rep𝕂 Q (i.e. we describe the Krull–Schmidt decomposition of A ⊗ B for all A, B ∈ rep𝕂 Q) in case 𝕂 is an algebraically closed field of characteristic 0 and Q is a quiver of type
. The underlying tensor product is defined point-wise and arrow-wise.