Factorization of symplectic matrices into elementary factors
Symplectic Geometry
2019-05-23 v2 Complex Variables
K-Theory and Homology
Abstract
We prove that a symplectic matrix with entries in a ring with Bass stable rank one can be factored as a product of elementary symplectic matrices. This also holds for null-homotopic symplectic matrices with entries in a Banach algebra or in the ring of complex valued continuous functions on a finite dimensional normal topological space.
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Cite
@article{arxiv.1905.02694,
title = {Factorization of symplectic matrices into elementary factors},
author = {Björn Ivarsson and Frank Kutzschebauch and Erik Løw},
journal= {arXiv preprint arXiv:1905.02694},
year = {2019}
}
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9 pages