Normal Forms for Symplectic Matrices
Symplectic Geometry
2014-03-20 v2
Abstract
We give a self contained and elementary description of normal forms for symplectic matrices, based on geometrical considerations. The normal forms in question are expressed in terms of elementary Jordan matrices and integers with values in related to signatures of quadratic forms naturally associated to the symplectic matrix.
Cite
@article{arxiv.1307.2403,
title = {Normal Forms for Symplectic Matrices},
author = {Jean Gutt},
journal= {arXiv preprint arXiv:1307.2403},
year = {2014}
}
Comments
27 pages updated version, propositions 12 and 17 added, uniqueness of normal form precised