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Mackaay, Michael; Mazorchuk, Volodymyr; Miemietz, Vanessa; Tubbenhauer, Daniel (2019). Simple transitive 2-representations via (co)algebra 1-morphisms. ArXiv.org 06325, Cornell University.
For any fiat 2-category C, we show how its simple transitive 2-representations can be constructed using coalgebra 1-morphisms in the injective abelianization of C. Dually, we show that these can also be constructed using algebra 1-morphisms in the projective abelianization of C. We also extend Morita-Takeuchi theory to our setup and work out several examples explicitly.
| Item Type: | Working Paper |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 2019 |
| Deposited On: | 12 Apr 2022 08:15 |
| Last Modified: | 16 Jun 2024 03:32 |
| Series Name: | ArXiv.org |
| ISSN: | 2331-8422 |
| OA Status: | Green |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.48550/arXiv.1612.06325 |
| Official URL: | https://www.arxiv-vanity.com/papers/1612.06325/ |
Mackaay, Michael