Normal Forms of Symplectic Matrices |
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| Authors: | Yiming Long Di Dong |
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| Institution: | (1) Nankai Institute of Mathematics, Nankai University, Tianjin 300071, P. R. China;(2) Department of Mathematics, SUNY at Stony Brook, Stony Brook, NY 111794-3651, USA |
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| Abstract: | Abstract
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.
Partially supported by the NSF, MCSEC of China, and the Qiu Shi Sci. Tech. Foundation
* Associate Member of the ICTP |
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| Keywords: | Normal form Symplectic matix Eigenvalue Symplectic transformation |
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