6-j symbol
Wigner's 6-j symbols were introduced by Eugene Paul Wigner in 1940 and published in 1965. They are defined as a sum over products of four Wigner 3-j symbols, { j 1 j 2 j 3 j 4 j 5 j 6 } = ∑ m 1 , … , m 6 ( − 1 ) ∑ k = 1 6 ( j k − m k ) ( j 1 j 2 j 3 − m 1 − m 2 − m 3 ) × × ( j 1 j 5 j 6 m 1 − m 5 m 6 ) ( j 4 j 2 j 6 m 4 m 2 − m 6 ) ( j 4 j 5 j 3 − m 4 m 5 m 3 ) .