40 citations · 295 across the 45 of their papers we have counts for
5 papers · 1 filter
The tame Butcher group
Geir Bogfjellmo, Alexander Schmeding
The Butcher group is a powerful tool to analyse integration methods for ordinary differential equations, in particular Runge--Kutta methods. Recently, a natural Lie group structure…
Functorial aspects of the reconstruction of Lie groupoids from their bisections
Alexander Schmeding, Christoph Wockel
To a Lie groupoid over a compact base, the associated group of bisection is an (infinite-dimensional) Lie group. Moreover, under certain circumstances one can reconstruct the Lie g…
(Re)constructing Lie groupoids from their bisections and applications to prequantisation
Alexander Schmeding, Christoph Wockel
This paper is about the relation of the geometry of Lie groupoids over a fixed compact manifold and the geometry of their (infinite-dimensional) bisection Lie groups. In the first…
Shape Analysis on Lie Groups with Applications in Computer Animation
Elena Celledoni, Markus Eslitzbichler, Alexander Schmeding
Shape analysis methods have in the past few years become very popular, both for theoretical exploration as well as from an application point of view. Originally developed for plana…
Character groups of Hopf algebras as infinite-dimensional Lie groups
Geir Bogfjellmo, Rafael Dahmen, Alexander Schmeding
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 infin…