Timeline for Finite subgroups of classical groups over $\mathbb C$
Current License: CC BY-SA 3.0
6 events
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Nov 22, 2017 at 15:38 | comment | added | Jay Taylor | If you want to see how difficult this problem can be check out Geoff Robinsons DPhil Thesis. There he classifies the irreducible subgroups of $\mathrm{GL}_{11}(\mathbb{C})$. It's quite the feat considering it's pre-classification of finite simple groups. homepages.abdn.ac.uk/d.j.benson/papers/r/robinson/thesis.dvi | |
Nov 22, 2017 at 10:45 | history | edited | Sebastien Palcoux |
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Nov 22, 2017 at 2:33 | answer | added | Sebastien Palcoux | timeline score: 4 | |
Nov 22, 2017 at 1:12 | comment | added | Qiaochu Yuan | Noah means faithful irrep, although this condition is automatic if $G$ is simple. | |
Nov 22, 2017 at 0:39 | comment | added | Noah Snyder | For $GL_n$ you're just asking about groups with an $n$-dimensional irrep, for $O_n$ and $SP_n$ you're asking for an $n$-dimensional irrep with FS-indicator $\pm 1$ (respectively). That's clearly too broad a question to hope to say much. You might be interested in Jordan's Theorem or this paper. | |
Nov 22, 2017 at 0:22 | history | asked | Shawn | CC BY-SA 3.0 |