Diagrammatics for Comodule Monads
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866910581704884224 |
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| author | Halbig, Sebastian Zorman, Tony |
| author_facet | Halbig, Sebastian Zorman, Tony |
| contents | We extend Willerton's graphical calculus for bimonads to comodule monads, a monadic interpretation of module categories over a monoidal category. As an application, we prove a version of Tannaka--Krein duality for these structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13074 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Diagrammatics for Comodule Monads Halbig, Sebastian Zorman, Tony Category Theory Quantum Algebra 18M30 (Primary) 18M05, 16T05, 18C15 (Secondary) We extend Willerton's graphical calculus for bimonads to comodule monads, a monadic interpretation of module categories over a monoidal category. As an application, we prove a version of Tannaka--Krein duality for these structures. |
| title | Diagrammatics for Comodule Monads |
| topic | Category Theory Quantum Algebra 18M30 (Primary) 18M05, 16T05, 18C15 (Secondary) |
| url | https://arxiv.org/abs/2312.13074 |