The Lie group of real analytic diffeomorphisms is not real analytic

DOI10.4064/sm8130-12-2015zbMath1341.58011arXiv1410.8803OpenAlexW279420630WikidataQ115217456 ScholiaQ115217456MaRDI QIDQ3460245

Alexander Schmeding, Rafael Dahmen

Publication date: 6 January 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8803

zbMATH Keywords

diffeomorphism groupinfinite-dimensional Lie groupreal analyticregular Lie groupSilva spacemanifold of mappings

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Real-analytic functions (26E05) Differentiability questions for infinite-dimensional manifolds (58B10) Manifolds of mappings (58D15) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (3)

Completeness of locally \(k_{\omega}\)-groups and related infinite-dimensional Lie groups ⋮ Diffeomorphism groups of compact convex sets ⋮ Lie theory for asymptotic symmetries in general relativity: The BMS group

Cites Work

• On Levi's problem and the imbedding of real-analytic manifolds
• Every Stein subvariety admits a Stein neighborhood
• The convenient setting for real analytic mappings
• Derived functors in functional analysis
• Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups
• Differentiable mappings on products with different degrees of differentiability in the two factors
• Direct Limits of Infinite-Dimensional Lie Groups
• Polynomials and multilinear mappings in topological vector-spaces
• Analytic functions in topological vector-spaces
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