The Maslov index revisited

DOI10.1007/BF01237249zbMath1078.53076OpenAlexW2010341591MaRDI QIDQ1601412

Bent Orsted, Jean-Louis Clerc

Publication date: 2001

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01237249

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Lagrangian submanifolds; Maslov index (53D12)

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Positivity and higher Teichmüller theory, The cohomology of semi-simple Lie groups, viewed from infinity, A primitive of the generalized Maslov cocycle, Anosov representations with Lipschitz limit set, Special prehomogeneous vector spaces associated to \(F_{4}\), \(E_{6}\), \(E_{7}\), \(E_{8}\) and simple Jordan algebras of rank 3., Surface group representations with maximal Toledo invariant., Complex hyperbolic geometry and Hilbert spaces with complete Pick kernels, The generalized Maslov index, Some properties of the higher spin Laplace operator, Representations of complex hyperbolic lattices into rank 2 classical Lie groups of Hermitian type, GEOMETRIC PHASES IN THE QUANTISATION OF BOSONS AND FERMIONS, Cross ratios, translation lengths and maximal representations, A topological Maslov index for 3-graded Lie groups, The Maslov triple index on the Shilov boundary of a classical domain, Surface group representations with maximal Toledo invariant, On the usefulness of an index due to Leray for studying the intersections of Lagrangian and symplectic paths, Symplectic groups over noncommutative algebras, Fenchel-Nielsen coordinates for maximal representations

Cites Work

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• Spineurs symplectiques purs et indice de Maslov de plans lagrangiens positifs
• The Weil representation, Maslov index and theta series
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• Un théorème de Liouville pour les algèbres de Jordan