Normal Forms of Symplectic Matrices

作     者：Yiming Long Nankai Institute of Mathematics.Nankai University,Tianjin 300071,P.R.China Di Dong Department of Mathematics.SUNY at Stony Brook,Stony Brook,NY 111794-3651,USA Associate Member of the ICTP 

作者机构：Nankai Institute of Mathematics Nankai University Tianjin 300071 P. R. China Department of Mathematics SUNY at Stony Brook Stony Brook NY 111794-3651 USA 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2000年第16卷第2期

页      面：237-260页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Partially supported by the NSF MCSEC of China the Qiu Shi Sci.Tech.Foundation 

主　　题：Normal form Symplectic matrix Eigenvalue Symplectic transformation 

摘      要：In this paper,we prove that for every symplectic matrix M possessing eigenvalues on the unit circle,there exists a symplectic matrix P such that P-1 MP is a symplectic matrix of the normal forms defined in this paper.