Smooth Lie groups over local fields of positive characteristic need not be analytic

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dc.creatorGlockner, Helge
dc.date2004-08-18
dc.date.accessioned2026-07-07T05:11:21Z
dc.date.available2026-07-07T05:11:21Z
dc.descriptionWe describe finite-dimensional smooth Lie groups over local fields of positive characteristic which do not admit an analytic Lie group structure compatible with the given topological group structure, and C^n-Lie groups without a compatible C^{n+1}-Lie group structure, for each positive integer n. We also present examples of non-analytic, smooth automorphisms of Lie groups over such fields, as well as C^n-automorphisms which fail to be C^{n+1}.
dc.description19 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0408239
dc.identifierhttp://arxiv.org/abs/math/0408239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72212
dc.subjectGroup Theory
dc.subject22E20 (Primary) 20G25; 22D05; 22D45; 26E30 (Secondary)
dc.titleSmooth Lie groups over local fields of positive characteristic need not be analytic
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