Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

The Lie Group Structure of the Butcher Group

- Geir Bogfjellmo, Alexander Schmeding
- Mathematics, Computer Science
- Found. Comput. Math.
- 17 October 2014

TLDR

The Lie group of bisections of a Lie groupoid

- Alexander Schmeding, Christoph Wockel
- Mathematics
- 4 September 2014

In this article, we endow the group of bisections of a Lie groupoid with compact base with a natural locally convex Lie group structure. Moreover, we develop thoroughly the connection to the algebra… Expand

Extending Whitney's extension theorem: nonlinear function spaces

- David Michael Roberts, Alexander Schmeding
- Mathematics
- 12 January 2018

This article shows that there is a continuous extension operator for compactly-supported smooth sections of vector bundles on possibly non-compact smooth manifolds, where the closed set to which… Expand

Lie groupoids of mappings taking values in a Lie groupoid

- H. Amiri, H. Glockner, Alexander Schmeding
- Mathematics
- 7 November 2018

Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop groups. These are… Expand

The Lie group of real analytic diffeomorphisms is not real analytic

- R. Dahmen, Alexander Schmeding
- Mathematics
- 24 October 2014

We construct an infinite dimensional real analytic manifold structure for the space of real analytic mappings from a compact manifold to a locally convex manifold. Here a map is real analytic if it… Expand

Lie groups of controlled characters of combinatorial Hopf algebras

- R. Dahmen, Alexander Schmeding
- Mathematics
- 6 September 2016

In this article groups of controlled characters of a combinatorial Hopf algebra are considered from the perspective of infinite-dimensional Lie theory. A character is controlled in our sense if it… Expand

Character groups of Hopf algebras as infinite-dimensional Lie groups

- Geir Bogfjellmo, R. Dahmen, Alexander Schmeding
- Mathematics
- 21 January 2015

In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie… Expand

Differentiable mappings on products with different degrees of differentiability in the two factors

- Hamza Alzaareer, Alexander Schmeding
- Mathematics
- 31 August 2012

Abstract We develop differential calculus of C r , s -mappings on products of locally convex spaces and prove exponential laws for such mappings. As an application, we consider differential equations… Expand

STRONG TOPOLOGIES FOR SPACES OF SMOOTH MAPS WITH INFINITE-DIMENSIONAL TARGET

- Eivind Otto Hjelle, Alexander Schmeding
- Mathematics
- 30 March 2016

In this article we study two "strong" topologies for spaces of smooth functions from a finite-dimensional manifold to a (possibly infinite-dimensional) manifold modeled on a locally convex space.… Expand

Shape Analysis on Homogeneous Spaces: A Generalised SRVT Framework

- E. Celledoni, Sølve Eidnes, Alexander Schmeding
- Mathematics
- 16 August 2016

Shape analysis is ubiquitous in problems of pattern and object recognition and has developed considerably in the last decade. The use of shapes is natural in applications where one wants to compare… Expand

...

1

2

3

4

...