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Nov 7, 2013 at 17:21 comment added Johannes Hahn Also there is research about "spetses" which should be a replacement of the lie group/reductive for general complex reflection groups. The aim is to find a structure sufficiently similar to reductive groups such that every complex reflection group is a "Weyl group" of such a beast.
Nov 7, 2013 at 16:35 comment added Qiaochu Yuan Perhaps $p$-compact groups (en.wikipedia.org/wiki/P-compact_group) are what you're looking for?
Nov 7, 2013 at 16:28 history asked Drew Armstrong CC BY-SA 3.0