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Description: |
Four Young tableau bijections exhibiting the commutativity symmetry of
the Littlewood-Richardson coefficients are known. Pak and Vallejo
conjectured (2004) that, despite the different operations defining
them, they are identical in the sense that they produce the same
outcome. It is already known that three of them are identical. The
remaining fourth one will be shown to be identical to one of the other
three. Along the way some interlacing phenomenon will be rediscovered in
the context of Young tableau theory.
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