CLOSED CONJUGACY CLASSES, CLOSED ORBITS AND STRUCTURE OF ALGEBRAIC-GROUPS

被引：1
作者：
SANTOS, WF [1 ]
机构：
[1] MATH SCI RES INST,BERKELEY,CA
来源：
COMMUNICATIONS IN ALGEBRA | 1991年 / 19卷 / 12期
关键词：
D O I：
10.1080/00927879108824317
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove that if an affine algebraic group (in characteristic sero) has all its conjugacy classes closed, then it is nilpotent. A classical result (called sometimes the Kostant-Rosenlicht Theorem) guarantees that if an affine algebraic group G is unipotent, then all its orbits on affine varieties are closed. We prove the converse of that theorem in arbitrary characteristics.
引用
收藏
页码：3241 / 3248
页数：8
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