Timeline for Uniform proof that a finite (irreducible real) reflection group is determined by its degrees?
Current License: CC BY-SA 3.0
7 events
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Nov 27, 2015 at 9:17 | answer | added | Christian Stump | timeline score: 4 | |
Jan 9, 2015 at 15:00 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
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Jan 9, 2015 at 12:18 | answer | added | Kasper Andersen | timeline score: 4 | |
Jun 29, 2014 at 14:17 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
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Jun 29, 2014 at 14:15 | comment | added | Jim Humphreys | @Noam: Yes, the complex reflection groups were only a superficial afterthought that I meant to look at more closely but obviously didn't. (In that case should one be considering the "codegrees" as well as the degrees?) | |
Jun 29, 2014 at 2:40 | comment | added | Noam D. Elkies | For complex reflection groups there are counterexamples: exceptional groups #8 and #13 both have degrees $8,12$, and there are several examples of exceptional groups with the same invariant degrees as a group in the second infinite family (generalized hyperoctahedral group), e.g. #5 ($6,12$), #10 ($12,24$), #18 ($30,60$), and #25 and #26 ($6,9,12$ and $6,12,18$). | |
Sep 29, 2013 at 22:40 | history | asked | Jim Humphreys | CC BY-SA 3.0 |