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The structure of \(q\)-symplectic geometry

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Publication:1900594
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zbMath0829.58015MaRDI QIDQ1900594

Maurice A. De Gosson

Publication date: 17 January 1996

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)


zbMATH Keywords

manifoldsymplectic groupLie groupMaslov index\(q\)- symplectic geometry\(q\)-fold covering group


Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)


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Maslov index in semi-Riemannian submersions ⋮ Symplectic spinors, holonomy and Maslov index ⋮ Maslov indices on the metaplectic group \(Mp(n)\) ⋮ Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms ⋮ On a product formula for the Conley-Zehnder index of symplectic paths and its applications ⋮ Demazure-Kashiwara cocycles and metaplectic geometry ⋮ Unnamed Item ⋮ Fredholm-Lagrangian-Grassmannian and the Maslov index ⋮ Index theory for linear selfadjoint operator equations and nontrivial solutions for asymptotically linear operator equations ⋮ On the usefulness of an index due to Leray for studying the intersections of Lagrangian and symplectic paths



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