Helge Glockner

activity

20032026

most citedLie groups over non-discrete topological fields

46 citations · 213 across the 53 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.FA2022

Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups

Helge Glockner, Luis Tarrega

Let $M$ be a compact smooth manifold of dimension $m$ (without boundary) and $G$ be a finite-dimensional Lie group, with Lie algebra $g$ . Let $H^{> m /2} (M, G)$ be the group of all ma…

math.GR2022

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…

math.GR2022

Non-Lie subgroups in Lie groups over local fields of positive characteristic

Helge Glockner

By Cartan's Theorem, every closed subgroup $H$ of a real (or $p$ -adic) Lie group $G$ is a Lie subgroup. For Lie groups over a local field $K$ of positive characteristic,…

math.DG2022★ 1 cited

Diffeomorphism groups of convex polytopes

Helge Glockner

Let $E$ be a finite-dimensional real vector space and $M \subseteq E$ be a convex polytope with non-empty interior. We turn the group of all $C^{\infty}$ -diffeomorphisms of $M$ into a…