Timeline for why are all characters of the maximal torus in a Lie group weights?
Current License: CC BY-SA 3.0
7 events
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May 20, 2011 at 19:22 | comment | added | David E Speyer | Yes, I think there is no way of avoiding some difficult analysis there. That's the main reason I said I wasn't sure this was what you wanted. | |
May 20, 2011 at 18:39 | comment | added | Fedor Petrov | Thanks, this is nice argument, the onliest problem why it is not appropriate for my students is that they do not know the proof of Peter-Weyl theorem, which requires some functional analysis (or it actually does not? the proof which I know requires some properties of compact operators.) | |
May 19, 2011 at 23:02 | history | edited | David E Speyer | CC BY-SA 3.0 |
edited body
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May 19, 2011 at 23:02 | comment | added | David E Speyer | No, but I used W for two things: the Weyl group and the hypothetical representation in the second paragraph. I'll change the later use to $U$. | |
May 19, 2011 at 22:58 | comment | added | Keerthi Madapusi | Did you switch from $V$ to $W$ at some point? | |
May 19, 2011 at 22:56 | history | edited | David E Speyer | CC BY-SA 3.0 |
added 62 characters in body
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May 19, 2011 at 22:48 | history | answered | David E Speyer | CC BY-SA 3.0 |