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Mar 21, 2014 at 9:52 vote accept user1832
Mar 20, 2014 at 14:14 comment added Marc Palm Ah okay, I see imaginary line modulo $x=2 \pi i / log(q)$, $q$ being the residue characteristic, that's isomorphic to $U(1)$, I guess:) I didn't see that before:\ But that's a confusing embedding of $U(1)$ into $\mathbb{C}^\times$ modulo $x$.
Mar 20, 2014 at 14:12 comment added Marc Palm @WillSawin My issue is that unitary one-dimensional representation live on the imaginary line, not $U(1)$.
Mar 20, 2014 at 14:09 comment added Will Sawin I think you are correct: $[\pi_0]$ is all the tensor products with $1$-dimensional representations, $Im[\pi_0]$ is all the tensor products with unitary $1$-dimensional representations, and the finite group is the relative Weyl group.
Mar 20, 2014 at 12:53 history edited Marc Palm CC BY-SA 3.0
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Mar 20, 2014 at 11:36 history answered Marc Palm CC BY-SA 3.0