Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`TensorNetworks`Symmetry`
HookLengths  |
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Examples
(6)
Scope
(4)
Partition and tableau forms
(1)
Calling with a partition list and with a tableau of the same shape gives identical output:
In[1]:=
 | HookLengths |
Out[2]=
{{5,4,2,1},{2,1}}
The same diagram entered through a YoungTableau:
In[1]:=
| HookLengths |
 | YoungTableau |
Out[2]=
{{5,4,2,1},{2,1}}
A larger diagram
(1)
Verifying against single-cell HookLength
(1)
Conjugate diagram
(1)
Applications
(1)
Properties & Relations
(1)
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Hook lengths for the cells of the Young diagram of shape {3, 2}:
In[1]:=
| HookLengths |
Out[1]=
{{4,3,1},{2,1}}
The same result starting from a YoungTableau object:
In[1]:=
| HookLengths |
| YoungTableau |
Out[1]=
{{4,3,1},{2,1}}
A self-conjugate partition has hook lengths laid out symmetrically:
In[1]:=
| HookLengths |
Out[1]=
{{5,3,1},{3,1},{1}}
All hook lengths for the partition {3, 2}:
In[1]:=
| HookLengths |
Out[1]=
{{4,3,1},{2,1}}
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