Geometry of Matrices: In Memory of Professor L K Hua (1910 – 1985)

Geometry of Matrices: In Memory of Professor L K Hua (1910 – 1985)
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DOI:
10.1142/3080
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发表时间:
1996-05
期刊:
影响因子:
5.4
通讯作者:
Z. Wan
Z. Wan
中科院分区:
医学2区
文献类型:
--
作者:
Z. Wan

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本专著是一个国家的艺术调查的几何矩阵的研究是由华立强在四十年代发起的。详细地研究了除环或域上的矩形矩阵、交替矩阵、对称矩阵和厄米矩阵的几何。本文包括了作者在对称矩阵和厄米矩阵几何方面的最新成果。一章是关于除环上的线性代数,一章是关于除环上的仿射几何和射影几何。这本书写得很清楚,所以研究生和数学专业的三、四年级本科生都能毫不费力地阅读。
The present monograph is a state-of-art survey of the geometry of matrices whose study was initiated by LK Hua in the forties. The geometry of rectangular matrices, of alternate matrices, of symmetric matrices, and of hermitian matrices over a division ring or a field are studied in detail. The author's recent results on geometry of symmetric matrices and of hermitian matrices are included. A chapter on linear algebra over a division ring and one on affine and projective geometry over a division ring are also included. The book is clearly written so that graduate students and third or fourth year undergraduate students in mathematics can read it without difficulty.