Timeline for Does the notion of a Poisson monad exist?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jan 12, 2021 at 21:16 | comment | added | Christos | @მამუკაჯიბლაძე My reference for Hopf monads is that of Brugieres-Virelizier. | |
| Jan 12, 2021 at 17:39 | comment | added | მამუკა ჯიბლაძე | What is your reference for Hopf monads? You see, there is a notion by Mesablishvili & Wisbauer which does not use any structure on the category except idempotent splitting, and there are others using monoidal structure essentially; if you mean the latter, there are several versions of these, which one do you mean? As for the Poisson structure, I believe you cannot formulate it without some form of additivity requirements, both on your category and on the endofunctor. | |
| Jan 12, 2021 at 16:48 | comment | added | Christos | @მამუკაჯიბლაძე The category of interest is monoidal with duals, and is essential for the Hopf monad case. Probably for the Poisson is not needed. | |
| Jan 12, 2021 at 16:02 | comment | added | მამუკა ჯიბლაძე | How does the monoidal structure with duals relate to your question? | |
| Jan 12, 2021 at 15:57 | history | edited | Christos | CC BY-SA 4.0 |
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| Jan 12, 2021 at 15:48 | history | asked | Christos | CC BY-SA 4.0 |