Clebsch–Gordan decomposition of tensor products of SU(2) irreducibles. General theorem: j₁⊗j₂ = ⊕_{j=|j₁−j₂|}^{j₁+j₂} j (Wigner 1931). Canonical example — the tensor product of two spin-½ representations decomposes into the triplet (j=1,…
Clebsch–Gordan decomposition of tensor products of SU(2) irreducibles. General theorem: j₁⊗j₂ = ⊕_{j=|j₁−j₂|}^{j₁+j₂} j (Wigner 1931). Canonical example — the tensor product of two spin-½ representations decomposes into the triplet (j=1,…