40 citations · 295 across the 45 of their papers we have counts for
5 papers · 1 filter
Overview of (pro-)Lie group structures on Hopf algebra character groups
Geir Bogfjellmo, Rafael Dahmen, Alexander Schmeding
Character groups of Hopf algebras appear in a variety of mathematical and physical contexts. To name just a few, they arise in non-commutative geometry, renormalisation of quantum…
Shape analysis on Lie groups and homogeneous spaces
Elena Celledoni, Sølve Eidnes, Markus Eslitzbichler +1
In this paper we are concerned with the approach to shape analysis based on the so called Square Root Velocity Transform (SRVT). We propose a generalisation of the SRVT from Euclid…
A differentiable monoid of smooth maps on Lie groupoids
Habib Amiri, Alexander Schmeding
In this article we investigate a monoid of smooth mappings on the space of arrows of a Lie groupoid and its group of units. The group of units turns out to be an infinite-dimension…
Shape analysis on homogeneous spaces: a generalised SRVT framework
Elena Celledoni, Sølve Eidnes, Alexander Schmeding
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…
The geometry of characters of Hopf algebras
Geir Bogfjellmo, Alexander Schmeding
Character groups of Hopf algebras appear in a variety of mathematical contexts such as non-commutative geometry, renormalisation of quantum field theory, numerical analysis and the…