HURWITZ-RADON'S SYMPLECTIC ANALOGY AND HUA'S CYCLIC RECURRENCE RELATION

被引：0

作者：

Lin Kai-Liang ^{[1
]}

机构：

[1] Capital Normal Univ, Sch Math, Beijing 100048, Peoples R China

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2013年 / 26卷

关键词：

Hurwitz-Radon equations; Hurwitz-Radon theorem; Symplectic Hurwitz-Radon theorem; Hua's cyclic recurrence relation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A symplectic version of the classical Hurwitz-Radon theorem is presented in this paper. This problem was first approached but without full success by L.K. Hua in a paper on geometry of matrices, in 1947. The present paper solves Hua's problem in a complete and elementary way. As a consequence, a direct matrix proof of a related result of D.B. Shapiro, which is of independent interest, is given. It turns out that the sympletic version is closely related to Hurwitz and Radon's original orthogonal version via a remarkable observation of Hua. Hua's cyclic recurrence relation and its unitary version are also presented.

引用

页码：858 / 872

页数：15