Normal forms for symplectic matrices

DOI10.4171/PM/1944zbMath1304.15012arXiv1307.2403OpenAlexW2153273149MaRDI QIDQ399391

Jean Gutt

Publication date: 19 August 2014

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2403

zbMATH Keywords

quadratic formnormal formssymplectic matricesJordan matrices

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items (6)

Every real symplectic matrix is a product of real symplectic involutions ⋮ Billiards in generic convex bodies have positive topological entropy ⋮ Virtual homological eigenvalues and the Weil-Petersson translation length ⋮ Keplerian orbits through the Conley-Zehnder index ⋮ Generalized Conley-Zehnder index ⋮ Every real symplectic matrix is a product of commutators of real symplectic involutions

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• Canonical forms for symplectic and Hamiltonian matrices
• Normal forms of involutive complex Hamiltonian matrices under the real symplectic group
• H-Unitary and Lorentz Matrices: A Review
• m-Symplectic Matrices

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