Normal forms for  symplectic matrices

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Jun 2014Embargo end date: 01 Jan 2013 Belgium, France Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Portugaliae Mathematica, volume 71, pages 109-139 (issn: 0032-5155, eissn: 1662-2758,

Copyright policy )Funded by:EC | STEIN

Authors: Gutt, Jean;

doi: 10.4171/pm/1944 , 10.48550/arxiv.1307.2403

arXiv: 1307.2403

handle: 2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/183958

Normal forms for symplectic matrices

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Abstract

We give a self contained and elementary description of normal forms for symplectic matrices, based on geometrical considerations. The normal forms in question are expressed in terms of elementary Jordan matrices and integers with values in \{ -1,0,1\} related to signatures of quadratic forms naturally associated to the symplectic matrix.

Countries

Belgium, France

Related Organizations

National University
United States
Université de Toulouse
France
Université Libre de Bruxelles
Belgium
INSA de Toulouse
France
Université de Toulouse II - Le Mirail
France

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Keywords

symplectic matrices, Jordan matrices, Canonical forms, reductions, classification, [MATH] Mathematics [math], 54H11, 53D22, Normal forms, quadratic form, Mathématiques, Mathematics - Symplectic Geometry, normal forms, FOS: Mathematics, Symplectic Geometry (math.SG), [MATH]Mathematics [math], Symplectic matrices

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