Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`TensorNetworks`Symmetry`
TableauSize  |
|
| | ||||
▪
This symbol lives in the subpackage context . Load it explicitly with ; loading only the main context does not auto-load this subpackage.
"Wolfram`TensorNetworks`Symmetry`"
▪
▪
Equivalent to ; the size is the sum of the partition stored as the tableau's shape.
▪
Issues and returns when called on anything other than a valid ; use to test inputs first.
▪
The tensor rank required by and matches of the tableau, since one slot of the tensor is consumed by each box of the diagram.
Examples
(14)
Basic Examples
(3)
Count the boxes of a tableau given by explicit rows:
In[1]:=
 | TableauSize |
 | YoungTableau |
Out[1]=
5
For a tableau constructed from a partition, the size is the total number of cells of the diagram:
In[1]:=
| TableauSize |
| YoungTableau |
Out[1]=
7
The same number is the total of the shape:
In[1]:=
Total
[{{1,2,3},{4,5}}]
| TableauShape |
 | YoungTableau |
Out[1]=
5
Scope
(4)
Applications
(3)
Properties & Relations
(4)
 |
|
 |
|
 |
|
""