Limites projectives fortes d'algébroïdes de Lie

2010/12/03 by Patrick Cabau, Cabau, Patrick
Mathematics · #26E15 #46A13 #46T05 #46T20 #58A20 #58A30 #58B10 #58B25 #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Compatibility (geochemistry) #Differential Geometry (math.DG) #FOS: Mathematics #Geology #Homotopy and Cohomology in Algebraic Topology #Limit (mathematics) #Mathematical analysis #Mathematics #Morphism #Projective test #Pure mathematics #math.DG #msc:26E15 #msc:46A13 #msc:46T05 #msc:46T20 #msc:58A20 #msc:58A30 #msc:58B10 #msc:58B25

paper · pdf · doi:10.48550/arxiv.1012.0698

openalex publication_date 2010/12/03 · arxiv created 2012/02/20 · arxiv updated 2012/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define the notion of strong projective limit of Banach Lie algebroids. We study the associated structures of Fréchet bundles and the compatibility with the different morphisms. This kind of structure seems to be a convenient framework for various situations.

Citations

• Involutive distributions of operator-valued evolutionary vector fields
• Differential calculus on a Lie algebroid and Poisson manifolds
• The inverse function theorem of Nash and Moser
• Non-holonomic Lagrangian systems on Lie algebroids

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