Timeline for The space of Lie group homomorphisms
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
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| Apr 28, 2015 at 19:58 | answer | added | YCor | timeline score: 6 | |
| Apr 1, 2010 at 11:20 | answer | added | user1688 | timeline score: 1 | |
| Mar 30, 2010 at 22:33 | comment | added | Tom Church | I deleted my answer below, because half of it was wrong, and the other half no longer applies after the update to the question. Thanks to Charles Rezk for pointing out my mistake. | |
| Mar 30, 2010 at 22:01 | comment | added | Igor Belegradek | Here I deleted the comment in which I was stating that the topology on $\mathrm{Hom}(H,G)$ is that of pointwise convergence; this is incorrect, and it should be uniform convergence topology. Hats off to Tom Church for pointing this out. | |
| Mar 30, 2010 at 21:29 | history | edited | Igor Belegradek | CC BY-SA 2.5 |
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| Mar 30, 2010 at 19:00 | history | edited | Igor Belegradek | CC BY-SA 2.5 |
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| Mar 30, 2010 at 18:24 | history | edited | Igor Belegradek | CC BY-SA 2.5 |
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| Mar 30, 2010 at 17:35 | comment | added | Igor Belegradek | Bo Peng, I just realized that nearby homomorphisms of $H$ into $G$ are conjugate in $G$, which is what you probably mean when talking about discreteness. Thanks! | |
| Mar 30, 2010 at 16:59 | comment | added | Bo Peng | What's your topology on $\mathrm{Hom}(H,G)$? It is most likely discrete in many cases.... $G = U(1)$ and $H = U(1)$ being the simplest example. One can begin with the case where $G = U(n)$, then it's actually about representations of $H$, which is, as we know, discrete and indexed by the root lattice. | |
| Mar 30, 2010 at 13:16 | history | asked | Igor Belegradek | CC BY-SA 2.5 |