拓展对称的分解

论述如何将域上正交变换表为对称之积的结果有效性转移地环上的问题,转移过程中,出现了一类对称叫拓展对称,因此,首先必须解开拓展对称,在域上,开解正交变换表成对称之积,因子个数的多少,是用变换的剩余数来标定的,在环上,仅用剩余数却难于定出因子个数,于是又创出了一个偏差数的概念,用正交交换的偏差数和剩余数来标定因子个数,表明分解的长度。

The decomposition of extended symmetry

The solution of a kind of symmetry called "extended symmetry" in an effective transfer process of the symmetric product representation of orthogonal transformation from field to ring is discussed.Like the residue number of transform in the field,a concept"deviation number" is created on account of that only using of residue number is difficult to demarcate the number of factors in the ring.The residue number and deviation number of orthogonal transformation are used together to demarcate the number of factors and shown the length of decomposition in the ring,and meanwhile,the application of extended symmetry in orthogonal transformation is presented.