The cortex of nilpotent Lie group

被引：1

作者：

Kedim, Imed ^{[1
]}

Hatem, Megdiche ^{[2
]}

机构：

[1] Fac Sci De Bizerte, Dept Math, Bizerte, Tunisia

[2] Fac Sci Gabes, Dept Math, Zrig Tunisie, Tunisia

来源：

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 2009年 / 49卷 / 01期

关键词：

D O I：

10.1215/kjm/1248983034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a connected and simply connected, nilpotent Lie group. In this paper, we show that the cortex of G is a semi-algebraic set by means of a geometric characterization. It is also shown that the cortex is the image under a linear projection of a countable union of a semi-algebraic sets lying in the tensor product T(g) circle times g*.

引用

页码：161 / 172

页数：12