A linear counterexample to the Fourteenth Problem of Hilbert in dimension eleven

被引：0
|
作者：
Freudenburg, Gene [1 ]
机构：
[1] Western Michigan Univ, Dept Math, Kalamazoo, MI 49008 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 01期
关键词：
Hilbert's Fourteenth Problem; invariant theory; locally nilpotent derivations;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A family of G(a)-actions on a. ne space A(m) is constructed, each having a non-finitely generated ring of invariants (m >= 6). Because these actions are of small degree, they induce linear actions of unipotent groups G(a)(n) x G(a) on A(2n+3) for n >= 4, and these invariant rings are also non-finitely generated. The smallest such action presented here is for the group G(a)(4) x G(a) acting linearly on A(11).
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页码：51 / 57
页数：7
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