Timeline for Deligne's theorem on the characterisation of Tannakian categories
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 6, 2016 at 9:56 | comment | added | Dimitri Chikhladze | @FriedrichKnop that was indicated in the comment above. | |
| May 6, 2016 at 7:53 | comment | added | Friedrich Knop | Just for dimension reasons, the tensor identity does not even hold in the category of representations of a finite group $G$. In this case, $A$ should be the ring of functions on $G$. Is it possible that you forgot an index $A$ under some of the $\otimes$-symbols? | |
| May 5, 2016 at 22:08 | comment | added | Marc Hoyois | sent you a copy by email. | |
| May 3, 2016 at 13:55 | comment | added | Dimitri Chikhladze | Btw, does anyone know how to get hold on A. Rosenberg "The existence of fiber functors" in the series Gelfand Mathematical Seminars? | |
| Apr 29, 2016 at 10:46 | comment | added | Dimitri Chikhladze | @MarcHoyois That is correct. Thank you. | |
| Apr 28, 2016 at 21:08 | comment | added | Marc Hoyois | Sorry, by "dualizable" I meant "finite free" in the last sentence. | |
| Apr 28, 2016 at 20:57 | comment | added | Marc Hoyois | $A\otimes -$ is not strong monoidal as an endofunctor of $Ind(T)$ (your second isomorphism is incorrect!). It is strong monoidal as a functor to $A$-modules. Then $\Gamma$ is lax monoidal from $A$-modules to $\Gamma(A)$-modules, but it is strong when restricted to the full subcategory of dualizable $A$-modules, where $A\otimes -$ lands. | |
| Apr 28, 2016 at 18:00 | history | asked | Dimitri Chikhladze | CC BY-SA 3.0 |