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Portugaliae Mathematica
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Normal forms for symplectic matrices

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Jun 2014Embargo end date: 01 Jan 2013Publisher: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: http://arxiv.org/abs/1307.2403

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

Normal forms for symplectic matrices

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.

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Keywords

Mathématiques, Mathematics - Symplectic Geometry, FOS: Mathematics, Symplectic Geometry (math.SG), [MATH] Mathematics [math], [MATH]Mathematics [math], 54H11, 53D22, Normal forms, Symplectic matrices

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
Green
gold
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