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verticalConcatenate -- vertical concatenation of a list of tableaux

Description

i1 : T1 = youngTableau(new Partition from {5}, new Partition from {2})

             ┌───┬───┬───┐
o1 =         │   │   │   │
             └───┴───┴───┘

o1 : YoungTableau
 
i2 : T2 = youngTableau(new Partition from {3,2}, new Partition from {1}, {1,2,3,4})

         ┌───┬───┐
o2 =     │ 1 │ 2 │
     ┌───┼───┼───┘
     │ 3 │ 4 │    
     └───┴───┘    

o2 : YoungTableau
 
i3 : T3 = youngTableau(new Partition from {5,-3})

                 ║───┬───┬───┬───┬───┐
o3 =             ║   │   │   │   │   │
     ┌───┬───┬───║───┴───┴───┴───┴───┘
     │░░ │░░ │░░ ║                    
     └───┴───┴───║                    

o3 : YoungTableau
 
i4 : verticalConcatenate {T1,T2,T3}

                 ║       ┌───┬───┬───┐
o4 =             ║       │   │   │   │
                 ║   ┌───┼───┼───┴───┘
                 ║   │ 1 │ 2 │        
                 ║───┼───┼───┘        
                 ║ 3 │ 4 │            
                 ║───┼───┼───┬───┬───┐
                 ║   │   │   │   │   │
     ┌───┬───┬───║───┴───┴───┴───┴───┘
     │░░ │░░ │░░ ║                    
     └───┴───┴───║                    

o4 : YoungTableau

See also

Ways to use verticalConcatenate:

  • verticalConcatenate(List)

For the programmer

The object verticalConcatenate is a method function.

The source of this document is in Tableaux/documentation.m2:1483:0.