Timeline for Centralizer of a reductive subgroup
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 22, 2022 at 12:02 | vote | accept | Windi | ||
| Dec 21, 2022 at 10:21 | comment | added | groupie | Yes. That is what I mean. | |
| Dec 20, 2022 at 18:05 | comment | added | LSpice | I think you mean "take $\rho$ to be the natural action of $G = \operatorname{GL}_2 \times \operatorname{GL}_2$ on $\mathbb C^2 \otimes (\mathbb C^2)^*$" (which then specifies how $H = \operatorname{GL}_2$ acts). To think about it another way, $\rho$ is the action of $G$ on $\operatorname{Lie}(H)$ by simultaneous left and right multiplication $(h_1, h_2)\cdot X = h_1 X h_2^{-1}$, and the restriction to $H$ is then the adjoint action, which is reducible. | |
| S Dec 20, 2022 at 18:04 | review | First answers | |||
| Dec 20, 2022 at 18:36 | |||||
| S Dec 20, 2022 at 18:04 | history | edited | LSpice | CC BY-SA 4.0 |
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| S Dec 20, 2022 at 17:01 | review | First answers | |||
| Dec 20, 2022 at 17:30 | |||||
| S Dec 20, 2022 at 17:01 | history | answered | groupie | CC BY-SA 4.0 |