A partial order on the orthogonal group

被引：30

作者：

Brady, T ^{[1
]}

Watt, C

机构：

[1] Dublin City Univ, Sch Math Sci, Dublin 9, Ireland

[2] Univ Dublin Trinity Coll, Dept Math, Dublin 2, Ireland

来源：

COMMUNICATIONS IN ALGEBRA | 2002年 / 30卷 / 08期

关键词：

D O I：

10.1081/AGB-120005817

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a natural partial order on the orthogonal group and completely describe the intervals in this partial order. The main technical ingredient is that an orthogonal transformation induces a unique orthogonal transformation on each subspace of the orthogonal complement of its fixed subspace.

引用

页码：3749 / 3754

页数：6