Timeline for Wedderburn decomposition of special linear groups
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Sep 23, 2023 at 15:28 | vote | accept | Infinity_hunter | ||
| Oct 18, 2022 at 12:26 | answer | added | Alex B. | timeline score: 7 | |
| Oct 18, 2022 at 3:20 | comment | added | Venkataramana | @LSpice: you may well be right. That is why I said " perhaps". I think there are results analogous to Green's for complex representations of Chevalley groups over finite fields. | |
| Oct 17, 2022 at 17:24 | history | edited | LSpice | CC BY-SA 4.0 |
char($K$) -> $\operatorname{char}(k)$
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| Oct 17, 2022 at 17:23 | comment | added | LSpice | @Venkataramana, although, as you know, the process of decomposing from general to special linear groups can be quite involved …. A while back I needed a write-up of the case $n = 2$, and even that is (or was for me) tough to find explicitly written up anywhere. | |
| Oct 17, 2022 at 17:22 | history | edited | YCor | CC BY-SA 4.0 |
formatting
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| Oct 17, 2022 at 17:17 | comment | added | Venkataramana | The following paper contains a descriptions of irreducible characters of $GL(n,F_p)$, from which perhaps the analogous result for $SL(n,F)p)$ may be deduced. Green, J. A. “The Characters of the Finite General Linear Groups.” Transactions of the American Mathematical Society, vol. 80, no. 2, 1955, pp. 402–47. JSTOR, doi.org/10.2307/1992997. Accessed 17 Oct. 2022. | |
| Oct 17, 2022 at 17:02 | comment | added | Mariano Suárez-Álvarez | They are the dimensions of the simple representations of the group, they divide the group, and many other things are known, but I don't think the numbers are known in general. | |
| Oct 17, 2022 at 16:54 | history | edited | Infinity_hunter | CC BY-SA 4.0 |
deleted 8 characters in body
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| Oct 17, 2022 at 15:37 | history | asked | Infinity_hunter | CC BY-SA 4.0 |