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A duality-preserving extension of the Worley-Sagan insertion and Haiman's mixed insertion for the hyperoctahedral group
The Worley-Sagan insertion and Haiman's mixed insertion are insertion algorithms for shifted Young tableaux, and each of them gives a Robinson-Schensted-type correspondence between the symmetric group of degree $n$ and a set consisting of certain pairs of same-shape shifted Young tableaux with $n$ c
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