Factorization of symplectic matrices into elementary factors

Ivarsson, Björn; Kutzschebauch, Frank; Løw, Erik

doi:10.1090/proc/14891

Factorization of symplectic matrices into elementary factors
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by Björn Ivarsson, Frank Kutzschebauch and Erik Løw PDF

Proc. Amer. Math. Soc. 148 (2020), 1963-1970 Request permission

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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