rowStabilizer -- the row stabilizer of a tableau

Usage:

rowStabilizer T
Inputs:
- T, an instance of the type YoungTableau, a tableau.
Outputs:
- l, a list, the permutations in the row stabilizer.

Description

A permutation acts on a tableau by permuting its entries. The row stabilizer of a tableau is the group of permutations that leave boxes in their original rows.

i1 : T = youngTableau(new Partition from {2,2,1}, {1,4,2,5,3})

     ┌───┬───┐
o1 = │ 1 │ 4 │
     ├───┼───┤
     │ 2 │ 5 │
     ├───┼───┘
     │ 3 │    
     └───┘    

o1 : YoungTableau

i2 : rowStabilizer T

o2 = {Permutation{1, 2, 3, 4, 5}, Permutation{1, 5, 3, 4, 2}, Permutation{4,
     ------------------------------------------------------------------------
     2, 3, 1, 5}, Permutation{4, 5, 3, 1, 2}}

o2 : List

Ways to use rowStabilizer:

rowStabilizer(YoungTableau)

For the programmer

The object rowStabilizer is a method function.

The source of this document is in /build/reproducible-path/macaulay2-1.26.05+ds/M2/Macaulay2/packages/Tableaux/documentation.m2:1162:0.

rowStabilizer -- the row stabilizer of a tableau

Description

See also

Ways to use rowStabilizer:

For the programmer