Timeline for Degree bounds when restricting an irrep of a compact Lie group to a torus
Current License: CC BY-SA 3.0
6 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Dec 27, 2012 at 19:46 | comment | added | Victor Ostrik | I think that the constant must depend on $S$. For example take $G=SU(3)$, $\pi$ to be the usual 3 dimensional representation, and $S$ consisting of diagonal matrices $diag(z^N,z^{-N-1},z)$. | |
| Dec 27, 2012 at 17:00 | answer | added | Victor Ostrik | timeline score: 1 | |
| Dec 27, 2012 at 15:27 | comment | added | Tom Goodwillie | Is there a chance that there might be such a constant independent of $S$? Given a representation $G\to SU(d)$, pull back the Killing form of $SU(d)$ to get a multiple of the Killing form for $G$. What multiple is it? Is that positive number bounded above by $Cd$ for some constant $C$ (depending on $G$)? | |
| Dec 27, 2012 at 2:36 | history | edited | Yemon Choi | CC BY-SA 3.0 |
tweaked for extra clarity (hopefully)
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| Dec 27, 2012 at 1:50 | history | asked | Yemon Choi | CC BY-SA 3.0 |