conjugate TConjugation of a WeylFilling is the combinatorial transpose of the underlying Young tableau, preserving the row-wise storage convention.
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The conjugate stores the columns of $T$ as its rows; equivalently, toList conjugate T equals the list of columns of T, each sorted in its natural top-to-bottom order.
The source of this document is in SchurFunctors.m2:1629:0.