Timeline for Adjoint actions in abstract tensor categories
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 23, 2019 at 14:45 | history | edited | djbinder | CC BY-SA 4.0 |
Noticed a typo in one of the equations
|
| Sep 20, 2019 at 0:00 | comment | added | Qiaochu Yuan | I think we can find a canonical analogue of $\mathfrak{g}$ in suitably nice symmetric monoidal categories by taking the Hochschild homology of the unit in a suitable sense; see e.g. arxiv.org/abs/1002.3636. The idea is that we can think of $\text{Rep}(G)$ as sheaves on $BG$ and $\mathfrak{g} \in \text{Rep}(G)$ as a shifted version of the tangent bundle of $BG$, which in nice cases is accessible from Hochschild homology by a generalized Hochschild-Kostant-Rosenberg theorem. | |
| Sep 19, 2019 at 15:27 | history | asked | djbinder | CC BY-SA 4.0 |