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conjugate(WeylFilling) -- transpose of a Weyl-stored Young tableau

Description

Conjugation of a WeylFilling is the combinatorial transpose of the underlying Young tableau, preserving the row-wise storage convention.

i1 : T = weyl {{0,2,4},{1,3,5}}

     +-+-+-+
o1 = |0|2|4|
     |1|3|5|
     +-+-+-+

o1 : WeylFilling
i2 : conjugate T

     +-+-+
o2 = |0|1|
     |2|3|
     |4|5|
     +-+-+

o2 : WeylFilling

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.

See also

Ways to use this method:


The source of this document is in /build/reproducible-path/macaulay2-1.26.05+ds/M2/Macaulay2/packages/SchurFunctors.m2:1629:0.