Hopf categories associated to comonoidal functors
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911027699908608 |
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| author | Rivezzi, Andrea |
| author_facet | Rivezzi, Andrea |
| contents | We provide an explicit construction of Hopf categories associated to comonoidal functors, generalizing Ševera's construction of Hopf monoids through M-adapted functors. We discuss the example of the Hopf category whose underlying class is the set of twists of a Lie bialgebra. Finally, we apply the result to the setting of deformed categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22872 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hopf categories associated to comonoidal functors Rivezzi, Andrea Category Theory Quantum Algebra 18D20, 18M05, 16T05 We provide an explicit construction of Hopf categories associated to comonoidal functors, generalizing Ševera's construction of Hopf monoids through M-adapted functors. We discuss the example of the Hopf category whose underlying class is the set of twists of a Lie bialgebra. Finally, we apply the result to the setting of deformed categories. |
| title | Hopf categories associated to comonoidal functors |
| topic | Category Theory Quantum Algebra 18D20, 18M05, 16T05 |
| url | https://arxiv.org/abs/2506.22872 |