Functoriality of Quantum Principal Bundles and Quantum Connections
Quantum Algebra
2025-05-21 v2
Abstract
In the framework of Category Theory, we study the association between finite--dimensional representations of a compact quantum group and quantum vector bundles with linear connections for a given quantum principal bundle with a principal connection. In particular, we present a categorical equivalence between this kind of {\it quantum association functors} and quantum principal bundles with principal connections.
Keywords
Cite
@article{arxiv.2002.04015,
title = {Functoriality of Quantum Principal Bundles and Quantum Connections},
author = {Gustavo Amilcar Saldaña Moncada},
journal= {arXiv preprint arXiv:2002.04015},
year = {2025}
}