Linear Representations and Frobenius Morphisms of Groupoids

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Barbarán Sánchez, J.J., El Kaoutit, L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210056
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Linear Representations and Frobenius Morphisms of Groupoids / J.J. Barbarán Sánchez, L. El Kaoutit // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 31 назв. — англ.

Given a morphism of (small) groupoids with an injective object map, we provide sufficient and necessary conditions under which the induction and co-induction functors between the categories of linear representations are naturally isomorphic. A morphism with this property is termed a Frobenius morphi...