isSemistandard -- checks if a Young tableau is semistandard

Usage:

isSemistandard T
Inputs:
- T, an instance of the type YoungTableau, a Young tableau.
Outputs:
- b, a Boolean value, returns true if the tableau is semistandard, and false otherwise.

Description

A semistandard Young tableau (SSYT) has entries in $\N=\{1,2,3,\ldots\}$ where the rows are weakly increasing, and columns are strictly increasing. Here, we also require $\lambda$ and $\mu$ to have nonnegative parts.

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

                 ┌───┬───┐
o1 =             │ 1 │ 3 │
         ┌───┬───┼───┴───┘
         │ 2 │ 2 │        
     ┌───┼───┼───┘        
     │ 2 │ 3 │            
     └───┴───┘            

o1 : YoungTableau

i2 : isSemistandard T

o2 = true

Ways to use isSemistandard:

isSemistandard(YoungTableau)

For the programmer

The object isSemistandard is a method function.

The source of this document is in Tableaux/documentation.m2:625:0.

isSemistandard -- checks if a Young tableau is semistandard

Description

See also

Ways to use isSemistandard:

For the programmer