A constructive approach to Noether's problem
A constructive approach to Noether's problem
复制标题
解决诺特问题的建设性方法
DOI：
10.1007/bf02568311
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发表时间：
1996
影响因子：
0.6
通讯作者：
G. Kemper
中科院分区：
文献类型：
--
作者：
G. Kemper
本文提出了一种构造性地解决Noether问题的一般方法，即寻找由小次数多项式的有理不变量构成的极小基。这种方法被证明是成功的许多小组和大多数的经典群体与他们的自然表示。这些应用包括对共形辛群CSp 2n（q）、n和q为奇数的正交群的单群Ωn（q）、正交群的其它子群以及特殊酉群SUN n（q ~ 2）的Noether问题的肯定回答。
A general method is developed to attack Noether's Problem constructively by trying to find minimal bases consisting of rational invariants which are quotients of polynomials of small degrees. This approach turns out to be successful for many small groups and for most of the classical groups with their natural representations. The applications include affirmative answers to Noether's Problem for the conformal symplectic groups CSp2n(q), for the simple subgroups Ωn(q) of the orthogonal groups forn andq odd, for some other subgroups of orthogonal groups and for the special unitary groups SUn(q2).