On deformations of Fn in compact Lie groups

被引：13

作者：

Gelander, Tsachik ^{[1
]}

机构：

[1] Hebrew Univ Jerusalem, Einstein Inst Math, IL-91904 Jerusalem, Israel

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2008年 / 167卷 / 01期

基金：

美国国家科学基金会;

关键词：

Conjugacy Class; Maximal Torus; Dense Subgroup; Kazhdan Constant; Semisimple Case;

D O I：

10.1007/s11856-008-1038-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study some properties of the varieties of deformations of free groups in compact Lie groups. In particular, we prove a conjecture of Margulis and Soifer about the density of non-virtually free points in such variety, and a conjecture of Goldman on the ergodicity of the action of Aut(F-n) on such variety when n >= 3.

引用

页码：15 / 26

页数：12

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