Timeline for Why are Jucys-Murphy elements' eigenvalues whole numbers?
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| May 10, 2012 at 18:17 | answer | added | Alexander Chervov | timeline score: 3 | |
| Dec 16, 2011 at 21:32 | answer | added | Alexander Chervov | timeline score: 2 | |
| Dec 16, 2011 at 2:57 | answer | added | David E Speyer | timeline score: 5 | |
| Dec 15, 2011 at 3:52 | answer | added | Igor Makhlin | timeline score: 13 | |
| Dec 11, 2011 at 15:55 | comment | added | Igor Makhlin | Well, actually I have been reading this article simply with the purpose of educating myself on the subject of representation theory, which (I guess) is my main field of interest. But there's a lot of combinatorics to it, yes. | |
| Dec 11, 2011 at 15:44 | vote | accept | Igor Makhlin | ||
| Dec 11, 2011 at 15:03 | comment | added | darij grinberg | Oh hi! So we meet again. I've just started studying for a PhD at MIT. As you see by the comment I'm doing some algebraic combinatorics, at least as a pastime. Are you, too, or do you need this for some kind of infinite symmetric groups / probability theory? | |
| Dec 11, 2011 at 2:05 | history | edited | Ben Webster♦ | CC BY-SA 3.0 |
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| Dec 11, 2011 at 1:41 | answer | added | Florian Eisele | timeline score: 13 | |
| Dec 10, 2011 at 23:23 | comment | added | Igor Makhlin | I'm sorry for the off topic, but I had to say this. Don't know if you remember, but I know you, me and my twin brother Anton visited you at your home with our parents some 8-10 years ago when we (and you) lived in Karlsruhe. I'm in my 5th year at MSU now =) Quite a coincidence that you were the first person to respond to my first question here. | |
| Dec 10, 2011 at 23:00 | comment | added | darij grinberg | I myself have asked this question to several people to no avail. Not only are the eigenvalues integers; we also have $\prod\limits_{i=-n+1}^{n-1}\left(X-i\right)=0$, where $X=\left(1,n\right)+\left(2,n\right)+...+\left(n-1,n\right)\in\mathbb Z\left[S_n\right]$ is the $n$-th YJM element. I am sure this has a combinatorial proof, probably even a smart elementary induction one - but I had no success whatsoever in finding one over several weeks. | |
| Dec 10, 2011 at 22:53 | history | asked | Igor Makhlin | CC BY-SA 3.0 |