Timeline for Do compact groups acting irreducibly have finite subgroups which do the same?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 28, 2014 at 15:40 | comment | added | Geoff Robinson | @DavidSpeyer: Actually, it's Tiep | |
| Aug 28, 2014 at 12:17 | comment | added | David E Speyer | Guralnick and Thiep arxiv.org/abs/0810.0853 show that for any finite group $G$ and representation $V$ of dimension $>1$, the representations $\mathrm{Sym}^k V$ are reducible for $k \geq 6$. In fact, already for $k \geq 4$ and $5$, and asking for Zar. closed subgroups of $GL(V)$ rather than finite, there are only a few cases where $\mathrm{Sym}^k V$ is irreducible, which they classify completely. | |
| Aug 28, 2014 at 12:16 | comment | added | Yemon Choi | D'oh! thanks. as is often the case I should really accept more than one anwer, but since I can't I'm accepting Yves's just because it's "closest to what I should have known had I been thinking more carefully" | |
| Aug 28, 2014 at 11:54 | history | answered | Allen Knutson | CC BY-SA 3.0 |