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arXiv:math/0408239 [math.GR]AbstractReferencesReviewsResources

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

Helge Glockner

Published 2004-08-18Version 1

We 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}.

Comments: 19 pages, LaTeX
Categories: math.GR
Subjects: 22E20, 20G25, 22D05, 22D45, 26E30
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