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Oct 4, 2019 at 17:14 comment added LSpice @AThomas, I almost never think of centralisers of nilpotents, so I don't know off the top of my head; but I'll think about it.
Oct 4, 2019 at 6:47 comment added AThomas Thank you very much! I felt that one should be able to reduce to the nilpotent case. But still, is there a direct argument without using the classification of Lie algebras?
Oct 3, 2019 at 19:50 history edited LSpice CC BY-SA 4.0
Deleted a spurious identity component
Oct 3, 2019 at 19:12 history answered LSpice CC BY-SA 4.0