Timeline for Tensor product of simple representations
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 10, 2011 at 0:23 | comment | added | fherzig | At least when $r+s = p$ and $p > 2$ it doesn't matter, it's true in both cases. (First of all the $V_k$ remain irreducible as reps. of the finite group. And $V_p$ isn't semisimple even as rep. of the finite group.) | |
| Mar 10, 2011 at 0:08 | comment | added | shenghao | Excuse me but, do you mean "simple" or "not semi-simple" regarded as representations of the finite group of $\mathbb F_p$-points or rational representations of $SL_2$ over $\mathbb F_p?$ | |
| Mar 10, 2011 at 0:08 | comment | added | fherzig | In fact $r + s \ge p$ suffices, as Serre also points out in section 1.3 of his paper. The point is that there is a surjection $V_r \otimes V_s \to V_p$ and $V_p$ isn't semisimple. | |
| Mar 9, 2011 at 21:31 | history | answered | Bruce Westbury | CC BY-SA 2.5 |