3 papers
math.GR2019
The Lie group of vertical bisections of a regular Lie groupoid
Alexander Schmeding
In this note we construct an infinite-dimensional Lie group structure on the group of vertical bisections of a regular Lie groupoid. We then identify the Lie algebra of this group…
math.DG2018
Lie groupoids of mappings taking values in a Lie groupoid
Habib Amiri, Helge Glockner, Alexander Schmeding
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 g…
math.GR2018
Linking Lie groupoid representations and representations of infinite-dimensional Lie groups
Habib Amiri, Alexander Schmeding
The present paper links the representation theory of Lie groupoids and infinite-dimensional Lie groups. We show that smooth representations of Lie groupoids give rise to smooth rep…