Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`TensorNetworks`Symmetry`
TransposePartition  |
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Details and Options
Examples
(20)
Basic Examples
(4)
The conjugate of the partition {4, 2, 1}:
In[1]:=
TransposePartition[{4,2,1}]
Out[1]=
{3,2,1,1}
TransposePartition is a self-inverse operation; applying it twice returns the original partition:
In[1]:=
TransposePartition[TransposePartition[{4,2,1}]]
Out[1]=
{4,2,1}
The partition {3, 2, 1} is self-conjugate: its Young diagram is symmetric about the main diagonal, so the result equals the input:
In[1]:=
TransposePartition[{3,2,1}]
Out[1]=
{3,2,1}
For any self-conjugate partition the self-inverse property is doubly demonstrated:
In[1]:=
TransposePartition[TransposePartition[{3,2,1}]]
Out[1]=
{3,2,1}
Scope
(9)
Applications
(3)
Properties & Relations
(4)
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