Normal forms for orthogonal similarity classes of matrices

摘要：

Let F be an algebraically closed field of characteristic different from 2. Define the orthogonal group On (F) as the group of n by n matrices X over F such that XX1 = In where X is the transpose of X and In the identity matrix. We give normal forms (near diagonal matrices) for every n by n symmetric, skew-symmetric, orthogonal matrix over F under the orthogonal similarity. By Comparing, we point out that the known normal forms (as presented in the well known book by Gantmacher) are very different.

关键词： Orthogonal group symmetric matrices skew symmetric matrices orthogonal matrices

作者: Guanghui Xu Kaiming Zhao

作者单位: School of Science, Zhejiang Forestry University, Hangzhou 311300 P.R.China Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada Institute

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 453-457

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）