Factorization of Symplectic Matrices into Elementary Factors

Björn Ivarsson, Frank Kutzschebauch, Erik Løw

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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.
Original languageEnglish
Pages (from-to)1963-1970
Number of pages8
JournalProceedings of the American Mathematical Society
Issue number5
Early online date2019
Publication statusPublished - May 2020
MoE publication typeA1 Journal article-refereed


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