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augmentWeylFilling -- append an entry to a row of a WeylFilling

Description

The Weyl analogue of augmentFilling. Where Filling is column-indexed, WeylFilling is row-indexed; this routine grows a tableau by one cell in the natural row-wise direction and is the basic building block for describing Weyl-module maps tableau-by-tableau (see the example of weylModulesMap).

i1 : T = weyl {{0,1},{2}}

     +-+-+
o1 = |0|1|
     |2| |
     +-+-+

o1 : WeylFilling
i2 : augmentWeylFilling(T, 0, 2)

     +-+-+-+
o2 = |0|1|2|
     |2| | |
     +-+-+-+

o2 : WeylFilling
i3 : augmentWeylFilling(T, 1, 3)

     +-+-+
o3 = |0|1|
     |2|3|
     +-+-+

o3 : WeylFilling
i4 : augmentWeylFilling(T, 2, 4)

     +-+-+
o4 = |0|1|
     |2| |
     |4| |
     +-+-+

o4 : WeylFilling

See also

Ways to use augmentWeylFilling:

  • augmentWeylFilling(WeylFilling,ZZ,ZZ)

For the programmer

The object augmentWeylFilling is a method function.


The source of this document is in /build/reproducible-path/macaulay2-1.26.05+ds/M2/Macaulay2/packages/SchurFunctors.m2:1821:0.