Timeline for Embedding group algebra $F[S_m X S_n]$ into a group algebra $F[S_{m+n}]$
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Dec 22, 2009 at 13:18 | vote | accept | Puraṭci Vinnani | ||
| Nov 30, 2009 at 2:59 | history | edited | Yemon Choi | CC BY-SA 2.5 |
to reflect edit of original question
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| Nov 29, 2009 at 23:12 | vote | accept | Puraṭci Vinnani | ||
| Nov 29, 2009 at 23:12 | |||||
| Nov 29, 2009 at 22:12 | comment | added | Puraṭci Vinnani | Oh right, i see. Yeah that would certainly work given n=1, but for n arbitrarily large I can't see a way of generalizing that counter-example to go through. All we get that it has to lie inside the augmentation ideal of $F[S_n]$ which doesn't seem to be an immediate contradiction. I've changed the question slightly now: for $m$ fixed, does there necessarily exist a sufficiently large $n$ satisfying the given condition? | |
| Nov 29, 2009 at 12:57 | history | answered | Yemon Choi | CC BY-SA 2.5 |