Convolution Algebras of Double Groupoids and Strict 2-Groups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Román, Angel, Villatoro, Joel
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212653
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Convolution Algebras of Double Groupoids and Strict 2-Groups. Angel Román and Joel Villatoro. SIGMA 20 (2024), 093, 26 pages

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 convolutio...