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Mar 21, 2015 at 15:08 comment added James Propp Jessica and I discussed our respective approaches in person yesterday, and we feel that they're quite different. Jessica's answer treats standard tableaux; my answer (which appears below) treats semistandard tableaux. Her tableaux have only two rows; mine can have any number of rows. Her tableaux can be skew; mine must be non-skew, and indeed must be rectangular. She associates tableaux with order ideals in subposets of root posets of type A (triangles); I associate tableaux with points in the order polytope of minuscule posets of type A (rectangles).
Apr 29, 2013 at 18:53 vote accept darij grinberg
Apr 29, 2013 at 18:32 history answered Jessica Striker CC BY-SA 3.0