CANONICAL-FORMS OF PAIRS OF COMPLEX MATRICES

被引：2

作者：

DLAB, V ^{[1
]}

RINGEL, CM ^{[1
]}

机构：

[1] UNIV BIELEFELD,FAC MATH,W-4800 BIELEFELD,GERMANY

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1991年 / 147卷

关键词：

D O I：

10.1016/0024-3795(91)90240-W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using methods of the representation theory of finite-dimensional associative algebras, the paper presents an explicit classification of the pairs of real subspaces of a finite-dimensional complex vector space in terms of complex matrices. Thus, we classify the orbits of the direct product GL(m, C) x GL(m1,R) x GL (m2, R) acting on the set of pairs of m x m(t) complex matrices A(t), t = 1,2, by (A1, A2)(Q, P1, P2) = (QA1P1(-1), QA2P2(-1). In addition, the general case of canonical forms of pairs of complex matrices is resolved.

引用

页码：387 / 410

页数：24

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