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Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Apr 11, 2017 at 10:23 comment added Friedrich Knop I screwed up the link: algeo.math.fau.de/fileadmin/algeo/users/knop/papers/…
Apr 11, 2017 at 10:15 comment added Friedrich Knop I just realized that "invariants commute with completions" is not a simple consequence of complete reducibility. In fact, its proof is more or less half of the proof of Luna's slice theorem. You can find a proof (in german, available <a href="algeo.math.fau.de/fileadmin/algeo/users/knop/papers/…) as an appendix to an article of Slodowy on the LST. See the proof of Lemma 3 with $M=$ trivial module.
Apr 11, 2017 at 8:20 comment added aglearner Thanks a lot for this answer! I wonder if there is some textbook or lecture notes that I might consult to fill in some details? For example, the fact that "invariants commute with completions (by complete reducibility) "? (I am aware of the book of Mumford Fograty, but find it a bit tough)
Apr 11, 2017 at 8:16 history edited Friedrich Knop CC BY-SA 3.0
added 199 characters in body
Apr 11, 2017 at 8:12 vote accept aglearner
Apr 11, 2017 at 7:54 history answered Friedrich Knop CC BY-SA 3.0