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

Authors :
Bünger, F.
Rump, S.M.
Source :
Linear Algebra & its Applications. Feb2017, Vol. 515, p87-95. 9p.
Publication Year :
2017

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00243795
Volume :
515
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
120337605
Full Text :
https://doi.org/10.1016/j.laa.2016.11.014