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Wolfram Language
LieART
Guides
LieART: Lie Algebras and Representation Theory
Tech Notes
LieART - Quick Start Tutorial
Symbols
Algebra
CartanMatrix
DecomposeIrrep
DecomposeProduct
DimName
Dim
HighestRoot
Index
Irrep
IrrepPlus
LaTeXForm
MetricTensor
OrthogonalSimpleRoots
PositiveRoots
ProductAlgebra
ProductIrrep
RootSystem
WeightSystem
YoungTableau
Other
BranchingRules
IrrepProperties
TensorProducts
LieART`
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Examples
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Basic Examples
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Dimension of the fundamental representation of SU(3):
I
n
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:
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A
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[
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O
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Dimension of the spinor representation of SO(10), i.e.,
D
5
in Dynkin classification:
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:
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6
The adjoint representation of SU(N) is of dimension
2
N
-
1
. Example for SU(5):
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:
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