[math-fun] More Ignorance about Monster Rep. Theory

Here are a few more questions, possibly interesting, but currently beyond my depth: Are all irreducible representations rotations? If no, are any of the monster irreps rotational? Does "Monstrous moonshine" imply that the J-invariant is a Hilbert Series for some rep. of monster group? Or more specifically, can J(q) be computed by some sort of Molien equation or correlation table? Do these last two questions make any sort of sense, or do they sound like drunken ravings? In memoriam John Conway, right now could be a good time to throw out some speculation, even if it is over the moon, so to speak. Cheers, Brad