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Re:这题的做法是怎样呢?很怪异的题目

Posted by zsuyrl at 2008-01-10 11:43:49 on Problem 2129
In Reply To:Re:这题的做法是怎样呢?很怪异的题目 Posted by:zsuyrl at 2008-01-10 11:23:44
迷惑人的地方在于“实系数”
先考虑C[x,y],C表复数域
作线性变换u = x + iy, v = x - iy
旋转作用在C[u,v]上变成对角作用,此时
{u^i*v^j,i+j<=d,i=j mod n}就是不变
多项式空间的一组基(复数域上),将实部
虚部分离出来就得到另一组基,并且都是实系数
多项式,所以可以返回到R[x,y]中作为不变多项式
空间的一组基(实数域上),维数没变。。。

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