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arXiv · 1905.02694

Factorization of symplectic matrices into elementary factors

Björn Ivarsson·Frank Kutzschebauch·Erik Løw
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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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Björn Ivarsson, Frank Kutzschebauch, Erik Løw. 2019-05-07. Factorization of symplectic matrices into elementary factors. https://arxiv.org/abs/1905.02694

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