Timeline for Two $E_\infty$ structures on infinite matrices
Current License: CC BY-SA 4.0
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| Dec 5, 2023 at 14:20 | comment | added | guest313131 | In particular, this says that the $E_1$-algebra structure on $O$ described as matrix multiplication lifts to an $E_\infty$-algebra structure described as block sum. Is this a correct interpretation of your answer? | |
| Dec 5, 2023 at 14:20 | comment | added | guest313131 | Okay, let me try to parse this another way. Let Ass be the non-symmetric associative $\infty$-operad, which I can identify with $\mathcal{L}'$. Likewise I can identify Comm with $\mathcal{L}$ as a symmetric $\infty$-operad, and also as a non-symmetric $\infty$-operad (by forgetting the symmetric group actions). Through your $\alpha$, we witness maps of non-symmetric $\infty$-operads Comm --> Ass --> End($O$) where the composite arises from a map of symmetric $\infty$-operads. | |
| Dec 5, 2023 at 9:55 | history | answered | Neil Strickland | CC BY-SA 4.0 |