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Dec 11, 2021 at 20:00 comment added Sean Eberhard Because I'm asking about simple groups, nontrivial representations are automatically faithful.
Dec 11, 2021 at 19:59 comment added Sean Eberhard Uh, yes. OK what I should have said is I'm looking for a more precise answer. E.g., what is the exact minimal degree of $\mathrm{PSp}_{2n}(q)$ etc for all $n$ and $q$.
Dec 11, 2021 at 17:51 comment added Sam Hopkins Sorry, I'm confused. The linked question is about ordinary representations, which is what you're also asking about, right? Also: is it important that the representation be faithful?
Dec 11, 2021 at 14:26 comment added Sean Eberhard Right: ordinary as opposed to projective. That question is related, but note that projective degrees are often smaller. E.g., the minimal degree of $A_5$ is $3$, but since the universal cover of $\mathrm{SO}(3)$ is $\mathrm{SU}(2)$ it has a 2-fold cover (the binary icoasahedral group) with a 2-dimensional complex representation.
Dec 11, 2021 at 14:22 comment added Sam Hopkins "Minimal ordinary degree" = minimal degree of a nontrivial irrep.? This seems related: mathoverflow.net/questions/400864/…
Dec 11, 2021 at 14:19 history edited YCor
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Dec 11, 2021 at 14:02 history asked Sean Eberhard CC BY-SA 4.0