Nonlinearizable actions of dihedral groups on affine space

被引：1

作者：

Masuda, K ^{[1
]}

机构：

[1] Himeji Inst Technol, Himeji, Hyogo 6712201, Japan

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 356卷 / 09期

关键词：

algebraic group action; linearization problem;

D O I：

10.1090/S0002-9947-03-03405-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a reductive, non-abelian, algebraic group defined over C. We investigate algebraic G-actions on the total spaces of non-trivial algebraic G-vector bundles over G-modules with great interest in the case that G is a dihedral group. We construct a map classifying such actions of a dihedral group in some cases and describe the spaces of those non-linearizable actions in some examples.

引用

页码：3545 / 3556

页数：12