Invariant subrings which are complete intersections, I: (Invariant subrings of finite Abelian groups)
Invariant subrings which are complete intersections, I: (Invariant subrings of finite Abelian groups)
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完全交集的不变子环，I：（有限阿贝尔群的不变子环）
DOI：
10.1017/s0027763000018687
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发表时间：
1980
影响因子：
0.8
通讯作者：
Kei
中科院分区：
文献类型：
--
作者：
Kei
设G是GL(n，C)(C是复数域)的有限子群。则G在多项式环S=C[X1，…]上自然作用，Xn]。我们考虑以下问题。不变子环SG什么时候是完全交？在这篇文章中，我们讨论了G是有限交换群的情形。我们完全可以解决这个问题。结果在定理2.1中陈述。
Let G be a finite subgroup of GL(n, C) (C is the field of complex numbers). Then G acts naturally on the polynomial ring S = C[X1 , …, Xn]. We consider the following Problem. When is the invariant subring SG a complete intersection? In this paper, we treat the case where G is a finite Abelian group. We can solve the problem completely. The result is stated in Theorem 2.1.