Equivariant Hilbert series

被引：4
|
作者：
Himstedt, Frank [1 ]
Symonds, Peter [2 ]
机构：
[1] Tech Univ Munich, Zentrum Math M11, D-85748 Garching, Germany
[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England
来源：
ALGEBRA & NUMBER THEORY | 2009年 / 3卷 / 04期
关键词：
Hilbert series; group action; ring; degree; equivariant; MODULE STRUCTURE; P-GROUPS; COHOMOLOGY; AUTOMORPHISMS; RINGS;
D O I：
10.2140/ant.2009.3.423
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a finite group acting on a graded module and define an equivariant degree that generalizes the usual nonequivariant degree. The value of this degree is a module for the group, up to a rational multiple. We investigate how this behaves when the module is a ring and apply our results to reprove some results of Kuhn on the cohomology of groups.
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页码：423 / 443
页数：21
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