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TensorNetworks

Guides

  • TensorNetworks

Tech Notes

  • Building Tensor Networks
  • Contraction Paths and Execution
  • Matrix Product States
  • A Working Tour of the Symmetry Functions
  • 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
  • SchurDimension
  • SparseTensorNetwork
  • TableauColumns
  • TableauDimension
  • TableauRows
  • TableauShape
  • TableauSize
  • TableauWeylDimension
  • 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`
TableauRows
​
TableauRows
[tableau]
returns the inner row list of a Young tableau as a list of lists of slot indices.
​
Details and Options
▪
This symbol lives in the subpackage context
"Wolfram`TensorNetworks`Symmetry`"
. Load it explicitly with
Needs
["Wolfram`TensorNetworks`Symmetry`"]
; loading only the main context does not auto-load this subpackage.
▪
A
YoungTableau
object is atomic (
AtomQ
is
True
), so
First
and
Part
do not unpack it.
TableauRows
is the supported accessor for the row data.
▪
The result satisfies
Length
/@TableauRows[yt]
equals
TableauShape
[yt]
, and
Flatten
[TableauRows[yt]]
is a permutation of
Range
[
TableauSize
[yt]]
.
▪
Issues
TableauRows::noyt
and returns
$Failed
when called on anything other than a valid
YoungTableau
.
Examples  
(0)
SeeAlso
YoungTableau
 
▪
TableauShape
 
▪
TableauSize
 
▪
TableauColumns
 
▪
TableauDimension
 
▪
YoungTableauQ
 
▪
YoungSymmetrize
 
▪
YoungProject
 
▪
HookLengths
TechNotes
▪
Young Symmetries
RelatedGuides
▪
TensorNetworks
Read the row list of a tableau built from explicit rows:
In[1]:=
TableauRows

YoungTableau
[{{1,2,3},{4,5}}]
Out[1]=
{{1,2,3},{4,5}}
​
The partition-form constructor lowers to a standard row-major layout:
In[2]:=
TableauRows

YoungTableau
[{4,2,1}]
Out[2]=
{{1,2,3,4},{5,6},{7}}
​
Custom slot orderings round-trip:
In[3]:=
TableauRows

YoungTableau
[{{2,4,5},{1,3}}]
Out[3]=
{{2,4,5},{1,3}}
""

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