Normal Forms of Symplectic Matrices

Authors
Long, Yiming Dong, Di
Citation
Long, Yiming et Dong, Di, Normal Forms of Symplectic Matrices, Acta mathematica Sinica. English series (Print) , 16(2), 2000, pp. 237-260
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
16
Issue
2
Year of publication
2000
Pages
237 - 260
Database
ACNP
SICI code
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.