Timeline for What is natural about the well-known bijection between conjugacy classes and irreps of a symmetric group?
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15 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jul 12, 2014 at 21:29 | comment | added | Jim Humphreys | @Alexander: Though it's not as direct a connection as you might want, there has been subtle work relating classes of a Weyl group $W$ (such as $S_n$) and nilpotent orbits of a corresponding Lie algebra (here parametrized by partitions of $n$). Springer theory then leads to irreducible representations of $W$. The fit is exact for $S_n$. References include R.W. Carter, G.B. Elkington, A note on the parametrization of conjugacy classes, J. Algebra 20 (1972) 350-354; D. Kazhdan, G. Lusztig, Fixed point varieties on affine flag manifolds, Israel J. Math. 62 (1988),129-168. | |
| Jul 12, 2014 at 19:29 | answer | added | Richard Stanley | timeline score: 6 | |
| Jul 12, 2014 at 18:04 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
removed tag 'u'; a little editing
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| Jul 12, 2014 at 16:33 | answer | added | Andreas Blass | timeline score: 6 | |
| Jul 12, 2014 at 13:38 | history | edited | Alexander Chervov | CC BY-SA 3.0 |
added 849 characters in body; edited tags
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| Jul 6, 2014 at 18:32 | comment | added | Alexander Chervov | @QiaochuYuan If you can remember the construction, that would be valuable. | |
| Jul 6, 2014 at 9:51 | comment | added | Alexander Chervov | @JohannesHahn The other threads ask different questions. 1) Is there any "bijection" for GENERAL finite groups 2) What are OTHER (not S_n) groups which have some "well-known"/"natural" bijection. So on. | |
| S Jul 5, 2014 at 19:51 | history | suggested | Mahdi - Free Palestine | CC BY-SA 3.0 |
corrected spelling
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| Jul 5, 2014 at 19:40 | review | Suggested edits | |||
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| Jul 5, 2014 at 17:29 | comment | added | Qiaochu Yuan | "If I recall correctly." | |
| Jul 5, 2014 at 17:20 | comment | added | Alexander Chervov | @QiaochuYuan What is IIRC ? JohannesHahn Other question are not about that. | |
| Jul 5, 2014 at 17:16 | comment | added | Johannes Hahn | Since you already found the other threads, maybe you should explain why you're not satisfied with the answers given there. | |
| Jul 5, 2014 at 17:15 | comment | added | Qiaochu Yuan | IIRC there is a method to directly associate to each conjugacy class in a Weyl group a corresponding irreducible representation. I don't remember the details though. Here is another related question: mathoverflow.net/questions/46900/… | |
| Jul 5, 2014 at 17:09 | history | asked | Alexander Chervov | CC BY-SA 3.0 |