|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:adjointRepresentation
|
8-dimensional
|
|
gptkbp:application
|
classification of hadrons
flavor symmetry
color symmetry
eightfold way
|
|
gptkbp:centralTo
|
cyclic group of order 3
|
|
gptkbp:compact
|
compact
|
|
gptkbp:connectedness
|
connected
|
|
gptkbp:defines
|
group of 3x3 unitary matrices with determinant 1
|
|
gptkbp:dimensions
|
8
|
|
gptkbp:discoveredBy
|
gptkb:Élie_Cartan
|
|
gptkbp:field
|
complex numbers
|
|
gptkbp:fullName
|
gptkb:Special_Unitary_Group_of_degree_3
|
|
gptkbp:fundamentalRepresentation
|
3-dimensional
|
|
gptkbp:generation
|
gptkb:Gell-Mann_matrices
|
|
gptkbp:generatorCount
|
8
|
|
gptkbp:homotopyGroup
|
π1(SU(3)) = 0
π2(SU(3)) = 0
π3(SU(3)) = Z
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
SU(3)
|
|
gptkbp:introducedIn
|
1920s
|
|
gptkbp:Lie_algebra
|
gptkb:su(3)
|
|
gptkbp:maximalTorus
|
gptkb:U(1)_x_U(1)
|
|
gptkbp:notation
|
gptkb:SU(3)
|
|
gptkbp:order
|
infinite
|
|
gptkbp:rank
|
2
|
|
gptkbp:realForm
|
gptkb:SL(3,C)
|
|
gptkbp:relatedTo
|
gptkb:SU(2)
gptkb:SU(n)
gptkb:SU(1)
orthogonal group
|
|
gptkbp:simplyConnected
|
yes
|
|
gptkbp:structure
|
f^{abc} (structure constants of su(3))
|
|
gptkbp:type
|
gptkb:group_of_people
gptkb:A2
gptkb:Lie_group
non-abelian group
compact group
connected group
|
|
gptkbp:usedIn
|
gptkb:gauge_theory
gptkb:quantum_chromodynamics
particle physics
theory of strong interactions
|
|
gptkbp:Weyl_group
|
gptkb:symmetric_group_S3
|
|
gptkbp:bfsParent
|
gptkb:Quantum_chromodynamics
gptkb:gauge_theory
gptkb:chromodynamique_quantique
gptkb:quantum_chromodynamics
gptkb:Strong_interaction
gptkb:Quantum_Chromodynamics
|
|
gptkbp:bfsLayer
|
5
|