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.
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页码：858 / 872
页数：15
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