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Jan 3, 2015 at 14:01 vote accept Boyu Zhang
Jan 3, 2015 at 0:14 history edited Peter Crooks CC BY-SA 3.0
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Jan 2, 2015 at 19:55 comment added Peter Crooks There is an excellent paper on Stratified Symplectic Spaces by E. Lerman and R. Sjamaar. I think it probably contains some of these details.
Jan 2, 2015 at 19:52 comment added abx Bourbaki Lie groups and Lie algebras, chap. 9, gives very precise statements, most of them with no hypotheses on the stabilizers.
Jan 2, 2015 at 19:46 comment added Boyu Zhang Thank you very much! Could you recommend a reference for this?
Jan 2, 2015 at 19:44 history answered Peter Crooks CC BY-SA 3.0