Timeline for Eigenvalues for elements of (infinite) Coxeter groups
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S May 5, 2020 at 15:28 | history | suggested | Harry Richman | CC BY-SA 4.0 |
added link to A'Campo paper
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| May 5, 2020 at 14:39 | review | Suggested edits | |||
| S May 5, 2020 at 15:28 | |||||
| Jun 22, 2013 at 0:42 | comment | added | David E Speyer | Another good link on the Coxeter element subject is Howlett, "Coxeter groups and M-matrices", ams.org/mathscinet-getitem?mr=647197 . I am also unaware of any good references for elements of the group other than Coxeter elements. | |
| Jun 21, 2013 at 21:40 | comment | added | Hao Chen | @Humphreys: This happens to be one of the papers that leads us to our current focus. Thanks. | |
| Jun 21, 2013 at 21:13 | comment | added | Jim Humphreys | @Hao: A word of caution. In a "hyperbolic" situation, the standard geometric realization of the Coxeter group might not be the best representation to use. This kind of issue comes up, for instance, in a recent arXiv preprint: front.math.ucdavis.edu/1305.0052 (and it's always a concern when discussing infinite Coxeter groups that come up in geometry). | |
| Jun 21, 2013 at 20:08 | vote | accept | Hao Chen | ||
| Jun 21, 2013 at 20:07 | comment | added | Hao Chen | Thank you very much for your answer (and also for your book of course :P). A'Campo's note is among the documents on my desk. Seems that I didn't miss anything. Then I think I'll start to look into it. For your information, the Coxeter groups that I'm particularly interested in are those of type (n-1,1) ("lorentzian" or "hyperbolic" in literature). We may have observed something interesting about their eigenvectors, but nothing is clear yet. | |
| Jun 21, 2013 at 18:55 | history | answered | Jim Humphreys | CC BY-SA 3.0 |