Functoriality of quantum principal bundles and quantum connections
Abstract
Abstract Within the framework of category theory, we study the association between finite-dimensional representations of a compact quantum group and quantum vector bundles endowed with quantum linear connections, for a fixed quantum principal bundle equipped with a regular quantum principal connection. In particular, we establish a categorical equivalence between such quantum association functors and quantum principal bundles with a particular regular and multiplicative quantum principal connection.
Fields of Study & Subjects
Advanced Operator Algebra Research
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Boletín de la Sociedad Matemática Mexicana
- Publisher
- Springer Science and Business Media LLC
- Volume
- 32
- Issue
- 2
- Publication date
- 1 June 2026
- Language
- EN