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Aug 1, 2013 at 13:48 comment added darij grinberg The flips Stanley is talking about are supposed to be invertible, while the ones of the OP are not.
Aug 1, 2013 at 6:57 comment added user35313 If the shape of the tableau is (4,2,1) as above, then the tableau whose column reading word is 3215467 can not be taken to any other tableau, as all descents are the sorts that can not be flipped. Hence, I don't think that any two SYTs are related by a sequence of flips.
Aug 1, 2013 at 6:56 comment added user35313 Thanks for the response. I might be wrong but I don't think I can go from the tableau on the left to the one on the right (or the other way around) by doing flips of the type I mentioned.
Aug 1, 2013 at 6:18 history answered Richard Stanley CC BY-SA 3.0