71.65 SemiStandardTableaux

SemiStandardTableaux(mu, nu)

mu a partition, nu a composition.

Returns a list of the semistandard mu--tableaux of type nu [JK]. Tableaux are represented as lists of lists, with the first element of the list being the first row of the tableaux and so on.

gap> SemiStandardTableaux([4,3],[1,1,1,2,2]);    
[ [ [ 1, 2, 3, 4 ], [ 4, 5, 5 ] ], [ [ 1, 2, 3, 5 ], [ 4, 4, 5 ] ], 
  [ [ 1, 2, 4, 4 ], [ 3, 5, 5 ] ], [ [ 1, 2, 4, 5 ], [ 3, 4, 5 ] ], 
  [ [ 1, 3, 4, 4 ], [ 2, 5, 5 ] ], [ [ 1, 3, 4, 5 ], [ 2, 4, 5 ] ] ]

See also StandardTableaux StandardTableaux. This function requires the package ``specht'' (see RequirePackage).

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