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StandardYoungTableaux

Overview

Some stuff for standard Young tableaux:

  • generation of all SYTx of a given shape

  • count of all SYTx of a given shape

  • uniform sampling of SYTx

  • Robinson-Schensted(-Knuth) correspondence

  • conversion to and from ballot sequences

  • conversion to and from paths of integer partitions on the Young graph

  • Plancherel growth process

julia> syt = StandardYoungTableau([[1,2], [3,4], [5]])
julia> SYT2YoungPath(syt)
5-element Array{IPartition,1}:
 IPartition(1, [1])
 IPartition(2, [2])
 IPartition(3, [2, 1])
 IPartition(4, [2, 2])
 IPartition(5, [2, 2, 1])

Member functions

Modules = [StandardYoungTableaux]
Order   = [:type, :function]