Maximal semigroups in semi-simple Lie groups

被引：0

作者：

Martin, LABS ^{[1
]}

机构：

[1] Univ Estadual Campinas, Inst Matemat, BR-13083970 Campinas, SP, Brazil

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 353卷 / 12期

关键词：

semigroups; semi-simple Lie groups; flag manifolds; convexity;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The maximal semigroups with nonempty interior in a semi-simple Lie group with finite center are characterized as compression semigroups of subsets in the ag manifolds of the group. For this purpose a convexity theory, called here B-convexity, based on the open Bruhat cells is developed. It turns out that a semigroup with nonempty interior is maximal if and only if it is the compression semigroup of the interior of a B-convex set.

引用

页码：5165 / 5184

页数：20

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