Functoriality of Quantum Principal Bundles and Quantum Connections
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866910953968238592 |
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| author | Moncada, Gustavo Amilcar Saldaña |
| author_facet | Moncada, Gustavo Amilcar Saldaña |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_04015 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Functoriality of Quantum Principal Bundles and Quantum Connections Moncada, Gustavo Amilcar Saldaña Quantum Algebra 46L87, 18D35 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. |
| title | Functoriality of Quantum Principal Bundles and Quantum Connections |
| topic | Quantum Algebra 46L87, 18D35 |
| url | https://arxiv.org/abs/2002.04015 |