Timeline for Realization of irreducible $\mathfrak{S}_d$-modules and the representation theory of Lie algebra
Current License: CC BY-SA 3.0
7 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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| May 30, 2016 at 4:41 | comment | added | Steven | This is interesting. Thank you very much! | |
| May 29, 2016 at 19:55 | comment | added | Geoff Robinson | You asked for other examples. However, regarding Young modules explicitly, it was know to Frobenius that the character ring of the symmetric group is spanned by the characters of the permutation characters induced from Young subgroups, so all complex irreducible characters do show up. This also implies that all irreducible characteristic $p$-modules show up as composition factors of such permutation modules. | |
| May 29, 2016 at 19:16 | comment | added | Steven | Thank you very much for your comments. However, I am still confused about it. Here by permutation module I mean inductions from Young subgroups. I don't know why all irreducible modules can be found in this manner. | |
| May 29, 2016 at 16:08 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
typo
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| May 29, 2016 at 15:59 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
expanded answer slightly
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| May 29, 2016 at 15:41 | history | answered | Geoff Robinson | CC BY-SA 3.0 |