Timeline for Tannakian recovery of a group from other tensor abelian categories
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Jul 29, 2022 at 18:05 | comment | added | Will Sawin | One sometimes defines a homomorphism of $G$ into an algebraic group as a tensor functor from the category of representations of that algebraic group into the category of representations of $G$. This is convenient when representations of $G$ are more conveniently defined as a particular category of sheaves. This suggests to me that there is nothing to say about Tannakian reconstruction of $G$ from representations into other algebraic groups - those are just another way of looking at the ordinary category of representations. | |
| Jul 29, 2022 at 16:47 | comment | added | Jon Pridham | If the representations aren't linear, where would the abelian structure come from? | |
| Jul 29, 2022 at 16:33 | history | asked | Vite | CC BY-SA 4.0 |