均匀尺寸的skew-symmetric matrices系列
Families of skew-symmetric matrices of even size
摘要：
本文的主要结果是偶数阶复反对称矩阵族在自然等价关系下的奇异性分类。的分类是通过适当的悬挂的简单家庭的任意方阵分类布鲁斯和塔里。我们使用的悬浮是基于嵌入的空间任意方阵到空间的反对称矩阵的两倍大小。我们还表明，类似的关系嵌入布鲁斯的简单对称矩阵家庭的分类到布鲁斯-塔里简单的列表。我们的结构介绍了一个统一的方法，所有三个简单的分类。
英文摘要：
The main result of the paper is a classification of singularities of complex skew-symmetric matrix families of even size which are simple under a natural equivalence relation. The classification is obtained by appropriate suspensions of simple families of arbitrary square matrices classified by Bruce and Tari. The suspensions we are using are based on the embedding of a space of arbitrary square matrices into the space of skew-symmetric matrices of twice the size. We also show that similar relations embed Bruce's classification of simple symmetric matrix families into the Bruce-Tari simple list. Our constructions introduce a unified approach to all three simple classifications.
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