1994/03/14 by Vladimir Pestov, Vladimir G. Pestov, Pestov, Vladimir G.
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #funct-an #math.FA #math.RT
paper · pdf · doi:10.48550/arxiv.funct-an/9403004
5 pages. AmS TeX 2.1 source file
arxiv created 1994/03/14 · openalex publication_date 1994/03/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 1984 Milnor had shown how to deduce the Lie-Palais theorem on integration of infinitesimal actions of finite-dimensional Lie algebras on compact manifolds from general theory of regular Lie groups modelled on locally convex spaces. We show how, in the case of effective action, one can eliminate from Milnor's argument the abstract Lie-Cartan theorem, making the deduction rather elementary. A machinery employed in the proof provides a partial solution to a problem examined in 1972 by van Est and Świerczkowski.