PROPER AFFINE ACTIONS ON SEMISIMPLE LIE ALGEBRAS

被引：9

作者：

Smilga, Ilia ^{[1
]}

机构：

[1] Yale Univ, Dept Math, POB 208283, New Haven, CT 06520 USA

来源：

ANNALES DE L INSTITUT FOURIER | 2016年 / 66卷 / 02期

关键词：

Discrete subgroups of Lie groups; Affine groups; Auslander conjecture; Milnor conjecture; Flat affine manifolds; Adjoint representation; Margulis invariant; Quasi translation; Fee group; Schottky group; MARGULIS SPACE-TIMES; DISCONTINUOUS GROUPS; TRANSFORMATIONS;

D O I：

10.5802/aif.3026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any noncompact semisimple real Lie group G, we construct a group of affine transformations of its Lie algebra g whose linear part is Zariskidense in Ad G and which is free, nonabelian and acts properly discontinuously on g.

引用

页码：785 / 831

页数：47

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