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 |
Appears in Collections: | Publications without fulltext |
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