Factorization of symplectic matrices into elementary factors-Reference-Cited by-同舟云学术

Factorization of symplectic matrices into elementary factors

Published:2020-02-13 Issue:5 Volume:148 Page:1963-1970
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ivarsson Björn,Kutzschebauch Frank,Løw Erik

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.

Funder

Magnus Ehrnroothin Säätiö

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2020-148-05/S0002-9939-2020-14891-5/proc14891_AM.pdf

Reference16 articles.

1. On the structure of the 𝐺𝐿₂ of a ring;Cohn, P. M.;Inst. Hautes \'{E}tudes Sci. Publ. Math.,1966

2. Homotopy and uniform homotopy;Calder, Allan;Trans. Amer. Math. Soc.,1978

3. Homotopy and uniform homotopy. II;Calder, Allan;Proc. Amer. Math. Soc.,1980

4. Stable rank in holomorphic function algebras;Corach, Gustavo;Illinois J. Math.,1985

5. Factorization by elementary matrices, null-homotopy and products of exponentials for invertible matrices over rings;Doubtsov, Evgueni;Anal. Math. Phys.,2019

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Holomorphic factorization of mappings into Sp4(ℂ);Analysis & PDE;2023-04-14

2. Recent developments on Oka manifolds;Indagationes Mathematicae;2023-03

3. Various subgroups of Aut(Cn)${\rm{Aut}}({\mathbb{C}}^{n})$;Proceedings of the London Mathematical Society;2022-12-26

4. Unipotent factorization of vector bundle automorphisms;International Journal of Mathematics;2021-02-09