论文标题
偏斜矩阵的家族均匀尺寸
Families of skew-symmetric matrices of even size
论文作者
论文摘要
本文的主要结果是对具有均匀大小的复杂偏斜矩阵家族的奇异性分类，这些矩阵均在自然的对等关系下很简单。该分类是通过布鲁斯和塔里分类的任意平方矩阵的简单家庭的适当悬挂来获得的。我们正在使用的悬浮液基于任意平方矩阵空间的嵌入到偏度对称矩阵的大小两倍的空间中。我们还表明，类似的关系将布鲁斯对简单对称矩阵家族的分类嵌入了布鲁斯 - 塔里简单列表中。我们的构造对所有三个简单的分类介绍了统一的方法。
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.
