Timeline for Properties of categorical zeta function
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Mar 8, 2023 at 4:12 | vote | accept | Brian | ||
| Mar 7, 2023 at 5:06 | history | edited | Zach Goldthorpe | CC BY-SA 4.0 |
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| Mar 7, 2023 at 5:06 | comment | added | Zach Goldthorpe | @Maiyu one last edit. I have modified the definition of the norm so that the Euler product identity holds for any category with a zero object, finite coproducts, and "Schur's lemma" | |
| Mar 7, 2023 at 5:01 | history | edited | Zach Goldthorpe | CC BY-SA 4.0 |
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| Mar 7, 2023 at 4:57 | comment | added | Zach Goldthorpe | @Maiyu Good point, I have made an edit to elaborate on your comment, which at least makes your identity hold true for $\mathbb{Z}\mathbf{Mod}$ (or any abelian category) | |
| Mar 7, 2023 at 4:56 | history | edited | Zach Goldthorpe | CC BY-SA 4.0 |
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| Mar 7, 2023 at 4:30 | comment | added | Brian | This is great! It sounds like one way to get the definitions to agree, we would start with a semisimple object (from an isomorphism class) and apply the norm to its simple objects instead of the semisimple object itself. However, that’s the geometric series applied to the product and we are distributing term by term, so that doesn’t seem to say anything new. | |
| Mar 7, 2023 at 4:09 | history | answered | Zach Goldthorpe | CC BY-SA 4.0 |