Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`TensorNetworks`Symmetry`
TableauWeylDimension  |
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Examples
(4)
Scope
(2)
Shape independence
(1)
All standard fillings of a given shape return the same value:
In[1]:=
Module{shape,fillings},shape={3,2};fillings=
[shape],
[{{1,2,5},{3,4}}],
[{{1,3,5},{2,4}}];(TableauWeylDimension[#1,4]&)/@fillings
 | YoungTableau |
| YoungTableau |
| YoungTableau |
Out[1]=
{60,60,60}
Symbolic d
(1)
Applications
(1)
Properties & Relations
(1)
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GL(3) Weyl module dimension for shape {2,1} (the adjoint of SU(3)):
In[1]:=
TableauWeylDimension
[{2,1}],3
 | YoungTableau |
Out[1]=
8
A different standard filling of the same shape returns the same value:
In[2]:=
TableauWeylDimension
[{{1,3},{2}}],3
| YoungTableau |
Out[2]=
8
In[3]:=
SimplifyTableauWeylDimension
[{2}],d
 | YoungTableau |
Out[3]=
1
2
""