46 citations · 48 across the 9 of their papers we have counts for
6 papers · 1 filter
Contraction groups for tidy automorphisms of totally disconnected groups
Helge Glockner
We show that recent results of U. Baumgartner and G.A. Willis concerning contraction groups of automorphisms of metrizable, totally disconnected, locally compact groups remain vali…
Smooth Lie groups over local fields of positive characteristic need not be analytic
Helge Glockner
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 topologic…
Lie groups over non-discrete topological fields
Helge Glockner
We generalize the classical construction principles of infinite-dimensional real (and complex) Lie groups to the case of Lie groups over non-discrete topological fields. In particu…
Conveniently Hoelder homomorphisms are smooth in the convenient sense
Helge Glockner
We show that every 'conveniently Hoelder' homomorphism between Lie groups in the sense of convenient differential calculus is smooth (in the convenient sense). In particular, every…
Hoelder continuous homomorphisms between infinite-dimensional Lie groups are smooth
Helge Glockner
It is an open problem whether every continuous homomorphism between infinite-dimensional Lie groups is smooth. In this article, we show that every Hoelder continuous homomorphism i…
Fundamentals of direct limit Lie theory
Helge Glockner
We show that every countable direct system of finite-dimensional real or complex Lie groups has a direct limit in the category of Lie groups modelled on locally convex spaces. This…