Publisher DOI: 10.1016/j.laa.2016.11.014
Title: Yet more elementary proofs that the determinant of a symplectic matrix is 1
Language: English
Authors: Bünger, Florian 
Rump, Siegfried M.  
Keywords: Determinant; Isometry; Symplectic matrix; Transvection
Issue Date: 15-Nov-2016
Publisher: American Elsevier Publ.
Source: Linear Algebra and Its Applications (515): 87-95 (2017-02-15)
Abstract (english): 
It seems to be of recurring interest in the literature to give alternative proofs for the fact that the determinant of a symplectic matrix is one. We state four short and elementary proofs for symplectic matrices over general fields. Two of them seem to be new.
URI: http://hdl.handle.net/11420/3836
ISSN: 0024-3795
Journal: 
Institute: Zuverlässiges Rechnen E-19 
Document Type: Article
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