Timeline for semisimplicity of braid reps?
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Mar 9, 2022 at 12:00 | history | edited | Glorfindel | CC BY-SA 4.0 |
broken link fixed
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| Mar 18, 2011 at 23:49 | comment | added | Alexandru Chirvasitu | I'm only on page 10 right now, but so far, it looks like the result that comes closest to what I wanted isn't quite there: they prove in Prop. 3.6 that their modules $M\otimes V^{\otimes n}$ are what they call calibrated, i.e. semisimple under precisely the abelian subgroup of the affine braid group that comes from the "affine-ness" (the subgroup of $\tilde B_n$ generated by the $X^{\varepsilon_i}$, in the notation of the paper). I'll look around some more, maybe it's either spelled out or it follows from what they're doing. Anyway, thanks for the quick response. | |
| Mar 18, 2011 at 23:05 | history | answered | David Hill | CC BY-SA 2.5 |