Yet more elementary proofs that the determinant of a symplectic matrix is 1

Publikationstyp
Journal Article
Date Issued
2016-11-15
Sprache
English
Author(s)
Bünger, Florian  
Rump, Siegfried M.  orcid-logo
Institut
Zuverlässiges Rechnen E-19  
TORE-URI
http://hdl.handle.net/11420/3836
Journal
Linear algebra and its applications  
Volume
515
Start Page
87
End Page
95
Citation
Linear Algebra and Its Applications (515): 87-95 (2017-02-15)
Publisher DOI
10.1016/j.laa.2016.11.014
Scopus ID
2-s2.0-84998546888
Publisher
American Elsevier Publ.
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.
Subjects
Determinant
Isometry
Symplectic matrix
Transvection
DDC Class
510: Mathematik