Rubey's evacuation–reversal conjecture for vacillating tableaux
Let be a standard Young tableau with at most three rows, whose rows are all of even length or all of odd length. Let denote the evacuation of . A vacillating tableau of shape is associated to each such tableau.
Rubey's conjecture. The vacillating tableau corresponding to is the reversal of the vacillating tableau corresponding to .
This conjecture predicts that evacuation of the standard Young tableau is reflected by reversal of the associated vacillating tableau. The source gives no resolution, so its status remains open.
References
Primary source
Judith Braunsteiner, “A Sundaram type bijection for SO(3): vacillating tableaux and pairs of standard Young tableaux and orthogonal Littlewood-Richardson tableaux”, arXiv:1801.03780 (2018).
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