Direct Limits of Infinite-Dimensional Lie Groups

DOI10.1007/978-0-8176-4741-4_8zbMath1217.22018arXiv0803.0045OpenAlexW1609239267MaRDI QIDQ2999936

Helge Glöckner

Publication date: 18 May 2011

Published in: Developments and Trends in Infinite-Dimensional Lie Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.0045

zbMATH Keywords

homotopy groupLie groupinductive limitdirect limitdirect unionsmall subgroupSilva spaceascending sequence

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) General properties and structure of real Lie groups (22E15) (k)-spaces (54D50) Infinite-dimensional manifolds (46T05)

Related Items (10)

Lie groups of controlled characters of combinatorial Hopf algebras ⋮ The Lie group of real analytic diffeomorphisms is not real analytic ⋮ Continuity of LF-algebra representations associated to representations of Lie groups ⋮ Differentiable vectors and unitary representations of Fréchet-Lie supergroups ⋮ Smooth Homotopy of Infinite-Dimensional 𝐶^{∞}-Manifolds ⋮ Direct limits of regular Lie groups ⋮ Unnamed Item ⋮ Differentiability along one-parameter subgroups compared to differentiability on Lie groups as manifolds ⋮ Universal moduli spaces of Riemann surfaces ⋮ Differentiable mappings on products with different degrees of differentiability in the two factors

This page was built for publication: Direct Limits of Infinite-Dimensional Lie Groups