Timeline for What are immediate applications of the classification of connected reductive groups?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Sep 5, 2020 at 22:51 | comment | added | Timothy Chow | There are at least two different ways to interpret this question. One is, what are some applications of the machinery (e.g., root systems) that was developed to classify reductive groups? A second is, what corollaries are there of the classification theorem itself? The latter includes theorems proved by checking each group case by case. As for the former, I'm tempted to say that it'd be easier to list major results that don't make use of the root system. I'm not an expert but it feels like every paper in this area begins, "Let $\mathfrak g$ be a Lie algebra and $\Phi$ its root system..." | |
| Sep 4, 2020 at 19:07 | comment | added | Mark Wildon | Since this seems not to be attracting much of a big-list, maybe it should be retagged gr.group theory? | |
| Sep 4, 2020 at 17:11 | answer | added | Mark Wildon | timeline score: 2 | |
| Sep 4, 2020 at 13:10 | answer | added | user449595 | timeline score: 6 | |
| Sep 3, 2020 at 0:06 | answer | added | MathCrawler | timeline score: 2 | |
| Sep 2, 2020 at 22:21 | answer | added | jorge vargas | timeline score: 1 | |
| Sep 1, 2020 at 23:49 | comment | added | Sam Hopkins | Worth noting is that much of the machinery used to classify reductive groups is also extremely useful in classifying/studying representations of these groups. | |
| Sep 1, 2020 at 23:29 | history | asked | Tim Phalange | CC BY-SA 4.0 |