46 citations · 213 across the 53 of their papers we have counts for
59 papers
Compact Invariant Random Subgroups
Tal Cohen, Helge Glöckner, Gil Goffer +1
We study ergodic invariant random subgroups that give full measure to the subset of compact subgroups. We show that in real Lie groups, compactly generated -adic Lie groups, loc…
L^1-regularity of strong ILB-Lie groups
Helge Glockner, Ali Suri
If G is a Lie group modeled on a Fréchet space, let e be its neutral element and g be its Lie algebra. We show that every strong ILB-Lie group G is L^1-regular in the sense that ea…
Boundary values of diffeomorphisms of simple polytopes, and controllability
Helge Glöckner, Erlend Grong, Alexander Schmeding
We consider the Lie group of smooth diffeomorphisms Diff of a simple polytope in the euclidean space. Simple polytopes are special cases of manifolds with corners. The geo…
Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups
Helge Glockner, Luis Tarrega
Let be a compact smooth manifold of dimension (without boundary) and be a finite-dimensional Lie group, with Lie algebra . Let be the group of all ma…
Birkhoff decompositions for loop groups with coefficient algebras
Helge Glockner
Starting with a finite-dimensional complex Lie algebra, we extend scalars using suitable commutative topological algebras. We study Birkhoff decompositions for the corresponding lo…
Non-Lie subgroups in Lie groups over local fields of positive characteristic
Helge Glockner
By Cartan's Theorem, every closed subgroup of a real (or -adic) Lie group is a Lie subgroup. For Lie groups over a local field of positive characteristic,…