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利用群的直乘分解公式，考虑Ｕ（Ｎ）群的［２ａ１ｂ］表示按群链Ｕ（Ｎ）ＳＰ（Ｎ）Ｏ（３）的约化规则，给出了相应的比较简单的分支律递推公式．该公式在用计算机计算分支律时，不受秩和表示维数的限制．为求解这类问题的分支律提供了一种比较简单的算法．在简化同位旋１／２的单ｊ费米子体系的母分系数计算中具有十分重要的意义．用同样的方法也可以求出群链Ｕ（Ｎ）Ｏ（Ｎ）Ｏ（３）的分支律．
By using the direct factorization formula of the group, considering [2a1b] of the U (N) group indicates the reduction rule of the group chain U (N) SP (N) O (3), the corresponding simpler branch law is given Push the formula. The formula is not limited by the sum of rank and dimension when calculating the branch law by computer. A simpler algorithm is provided for solving the branch law of such problems. It is of great significance to simplify the calculation of the parent fractional coefficient of a single j-Fermi system with isomorphism. Using the same method, we can also find the branch law of the group chain U (N) O (N) O (3).