46 citations · 48 across the 9 of their papers we have counts for
9 papers
Locally compact groups built up from p-adic Lie groups, for p in a given set of primes
Helge Glockner
We analyze the structure of locally compact groups which can be built up from p-adic Lie groups, for p in a given set of primes. In particular, we calculate the scale function and…
Discontinuous non-linear mappings on locally convex direct limits
Helge Glockner
Consider the self-map F of the space of real-valued test functions on the line which takes a test function f to the test function sending a real number x to f(f(x))-f(0). We show t…
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…