Since tr(A ⊗ B) = tr(A) · tr(B), the character of a tensor product is just the product of characters: χ_i⊗j(C) = χ_i(C) · χ_j(C). We then decompose back into irreps via the WOT: a_k = ¹⁄_h ∑_C N_C χ_k*(C) χ_i⊗j(C). Click any cell below.