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TensorNetworks

Guides

  • TensorNetworks

Tech Notes

  • Building Tensor Networks
  • Contraction Paths and Execution
  • Matrix Product States
  • Tensor Networks Overview
  • Young Tableaux and Tensor Symmetries

Symbols

  • ActivateTensors
  • BinaryTensorNetwork
  • BinaryTensorNetworkQ
  • CanonicalPath
  • CanonicalPathQ
  • ContractIndices
  • ContractionTree
  • EinsteinSummation
  • GreedyContractionPath
  • HookFactor
  • HookLength
  • HookLengths
  • IndexedMultiply
  • InitializeTensorNetwork
  • MetricTensor
  • MetricTensorQ
  • MPSCanonicalForm
  • MPSCanonicalQ
  • MPSEntanglementEntropy
  • MPSNormalize
  • MPSNorm
  • MPSOverlap
  • MPSSchmidtValues
  • MPSTruncate
  • OptimalContractionPath
  • PartitionQ
  • PathIndexContractions
  • PathQ
  • PathToTreePath
  • RandomTensorNetwork
  • SparseTensorNetwork
  • TableauColumns
  • TableauDimension
  • TableauRows
  • TableauShape
  • TableauSize
  • TensorNetworkAdd
  • TensorNetworkContraction
  • TensorNetworkContractions
  • TensorNetworkContract
  • TensorNetworkData
  • TensorNetworkDelete
  • TensorNetworkFreeIndices
  • TensorNetworkGraphData
  • TensorNetworkGraphQ
  • TensorNetworkIndexDimensions
  • TensorNetworkIndexGraph
  • TensorNetworkIndices
  • TensorNetwork
  • TensorNetworkQ
  • TensorNetworkRemoveCycles
  • TensorNetworkReplaceIndices
  • TensorNetworkSize
  • TensorNetworkTensors
  • TensorNetworkToNetGraph
  • ToTensorNetworkGraph
  • TransposePartition
  • TreePathQ
  • TreePathToPath
  • YoungProject
  • YoungSymmetrize
  • YoungTableau
  • YoungTableauQ
Wolfram`TensorNetworks`Symmetry`
YoungProject
​
YoungProject
[tensor,tableau]
returns the normalized projection of
tensor
onto the symmetry class labelled by the Young
tableau
; the operator is idempotent.
​
Details and Options
​
Examples  
(7)
Basic Examples  
(1)
Project a rank-2 tensor onto the totally symmetric class:
In[1]:=
YoungProject[{{1,2},{3,4}},YoungTableau[{2}]]
Out[1]=
1,
5
2
,
5
2
,4
Project the same tensor onto the antisymmetric class:
In[2]:=
YoungProject[{{1,2},{3,4}},YoungTableau[{1,1}]]
Out[2]=
0,-
1
2
,
1
2
,0
Projection is idempotent:
In[3]:=
YoungProject[YoungProject[{{1,2},{3,4}},YoungTableau[{2}]],YoungTableau[{2}]]===YoungProject[{{1,2},{3,4}},YoungTableau[{2}]]
Out[3]=
True
Scope  
(4)

Applications  
(1)

Properties & Relations  
(1)

SeeAlso
YoungTableau
 
▪
YoungSymmetrize
 
▪
TableauDimension
 
▪
TableauShape
 
▪
TableauSize
 
▪
YoungTableauQ
 
▪
Symmetrize
 
▪
Transpose
TechNotes
▪
Young Symmetries
RelatedGuides
▪
TensorNetworks
""

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