Conjugacy classes of special automorphisms of the affine spaces

被引：5

作者：

Blanc, Jeremy ^{[1
]}

机构：

[1] Univ Basel, Math Inst, Spiegelgasse 1, CH-4051 Basel, Switzerland

来源：

ALGEBRA & NUMBER THEORY | 2016年 / 10卷 / 05期

基金：

瑞士国家科学基金会;

关键词：

plane automorphisms; conjugacy classes; topology; POLYNOMIAL AUTOMORPHISMS;

D O I：

10.2140/ant.2016.10.939

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the group of polynomial automorphisms of the plane, the conjugacy class of an element is closed if and only if the element is diagonalisable. In this article, we show that this does not hold for the group of special automorphisms, giving a first step in the direction of showing that this group is not simple, as an infinite-dimensional algebraic group.

引用

页码：939 / 967

页数：29

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