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
12 events
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| Dec 22, 2009 at 13:19 | history | edited | Puraṭci Vinnani | CC BY-SA 2.5 |
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| Dec 22, 2009 at 13:18 | vote | accept | Puraṭci Vinnani | ||
| Nov 30, 2009 at 8:20 | comment | added | Yemon Choi | @vinoth Exactly. I still don't know about your one-sided case. | |
| Nov 30, 2009 at 6:31 | comment | added | Puraṭci Vinnani | yes that seems pretty easy, just take $x''=x'^{-1}$ that conjugates $S_{m}$ into $S_{n}$ right? | |
| Nov 30, 2009 at 4:14 | history | edited | Puraṭci Vinnani | CC BY-SA 2.5 |
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| Nov 30, 2009 at 3:07 | comment | added | Yemon Choi | By the way, if $n\geq m$ then it is easy to find elements $x', x''$ in $F[S_{m+n}]$ such that $x''xx'$ is a nonzero element in the range of $\theta^*$. But I guess you know that already and this is why you asked about the one-sided case. | |
| Nov 30, 2009 at 2:23 | comment | added | Yemon Choi | Just how many cases have you tried, by the way? and what kinds of examples? | |
| Nov 29, 2009 at 23:12 | vote | accept | Puraṭci Vinnani | ||
| Nov 29, 2009 at 23:12 | |||||
| Nov 29, 2009 at 22:14 | history | edited | Puraṭci Vinnani | CC BY-SA 2.5 |
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| Nov 29, 2009 at 12:57 | answer | added | Yemon Choi | timeline score: 3 | |
| Nov 29, 2009 at 12:56 | comment | added | Tyler Lawson | What conditions are you wanting to place on x'? (I assume that it is at least nonzero.) | |
| Nov 29, 2009 at 11:20 | history | asked | Puraṭci Vinnani | CC BY-SA 2.5 |