REVIEW 1 cited by
Convolution Algebras of Double Groupoids and Strict 2-Groups
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
Double groupoids are a type of higher groupoid structure that can arise when one has two distinct groupoid products on the same set of arrows. A particularly important example of such structures is the irrational torus and, more generally, strict 2-groups. Groupoid structures give rise to convolution operations on the space of arrows. Therefore, a double groupoid comes equipped with two product operations on the space of functions. In this article we investigate in what sense these two convolution operations are compatible. We use the representation theory of compact Lie groups to get insight into a certain class of 2-groups.
Forward citations
Cited by 1 Pith paper
-
On Multiplicative Weightings for Lie Groupoids and Lie Algebroids
The submission pairs a differential-geometry abstract on Lie groupoid weightings with an unrelated astrophysics manuscript, leaving the claimed results unsupported by the provided text.
Discussion (0). Continue with ORCID to comment.