Timeline for the character tables of irreducible representations of $SL(3,Z_q)$
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Mar 23, 2017 at 1:19 | vote | accept | Xiao-Gang Wen | ||
| S Mar 17, 2017 at 9:08 | history | suggested | A Stasinski | CC BY-SA 3.0 |
Changed conjecture to question in Larsen-Lubotzky
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| Mar 17, 2017 at 8:47 | review | Suggested edits | |||
| S Mar 17, 2017 at 9:08 | |||||
| Mar 12, 2017 at 9:23 | comment | added | Uri Bader | @AStasinski, thanks! I edited my answer. Please feel free to update it further or to notice me of any inaccuracy (also by private email if you wish). You should know the history of this problem better than I do. | |
| Mar 12, 2017 at 9:13 | history | edited | Uri Bader | CC BY-SA 3.0 |
added 617 characters in body
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| Mar 12, 2017 at 7:57 | history | edited | Uri Bader | CC BY-SA 3.0 |
added 72 characters in body
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| Mar 12, 2017 at 7:46 | comment | added | Uri Bader | @Xiao-GangWen I don't have a specific reference, but I guess any reasonable book having the phrase "Algebraic K-Theory" in the title will have it. What you need to observe is that the determinant map $M_n(R\times S)\to R\times S$ satisfies $\det(x+y)=\det(x)+\det(y)$ for $x\in M_n(R)$, $y\in M_n(S)$. This becomes clear when you observe that $\det$ commutes with ring homomorphism and consider both projections. | |
| Mar 11, 2017 at 22:37 | comment | added | Xiao-Gang Wen | @Uri Bader "$SL_n$ over a product of rings (commutative with 1) is isomorphic to the product of $SL_n$ over the rings." Do you have any references for the above statement? | |
| Mar 11, 2017 at 21:22 | comment | added | A Stasinski | Regarding $\mathrm{SL}_2(\mathbb{Z}/p^r)$, the classification is due to Kutzko and Shalika for $p\neq 2$. The case $p=2$ is much more difficult and due to Nobs and Wolfart. The reps of $\mathrm{SL}_2(\mathbb{F}_q[t]/t^r)$, where $q$ is even is still not completely known. | |
| Mar 11, 2017 at 14:33 | history | edited | Uri Bader | CC BY-SA 3.0 |
added 112 characters in body
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| Mar 11, 2017 at 14:23 | history | answered | Uri Bader | CC BY-SA 3.0 |