|
gptkbp:instanceOf
|
gptkb:group_of_people
gptkb:Lie_group
orthogonal group
|
|
gptkbp:actsOn
|
complex 3-dimensional vector space
|
|
gptkbp:adjoint_representation
|
8-dimensional
|
|
gptkbp:Cartan_subalgebra_dimension
|
2
|
|
gptkbp:centralTo
|
cyclic group of order 3
|
|
gptkbp:compact
|
true
|
|
gptkbp:compact_real_form_of
|
gptkb:SL(3,C)
|
|
gptkbp:complexification
|
gptkb:SL(3,C)
|
|
gptkbp:connects
|
true
|
|
gptkbp:dimensions
|
8
|
|
gptkbp:discoveredBy
|
gptkb:mathematician
|
|
gptkbp:elements_are
|
3x3 unitary matrices with determinant 1
|
|
gptkbp:first_Chern_class
|
0
|
|
gptkbp:fundamental_representation
|
3-dimensional
|
|
gptkbp:generation
|
gptkb:Gell-Mann_matrices
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
SU(3) group
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:Lie_algebra
|
gptkb:su(3)
|
|
gptkbp:maximal_torus
|
gptkb:U(1)_×_U(1)
|
|
gptkbp:notation
|
gptkb:SU(3)
|
|
gptkbp:order
|
infinite
|
|
gptkbp:order_of_center
|
3
|
|
gptkbp:rank
|
2
|
|
gptkbp:realForm
|
gptkb:SU(3)
|
|
gptkbp:relatedTo
|
gptkb:SL(3,C)
gptkb:SU(2)_group
gptkb:U(3)_group
|
|
gptkbp:simply_connected
|
true
|
|
gptkbp:type
|
gptkb:A2
gptkb:A2_(Dynkin_classification)
|
|
gptkbp:used_in
|
gptkb:gauge_theory
gptkb:quantum_chromodynamics
gptkb:Grand_Unified_Theories
particle physics
flavor symmetry
eightfold way
|
|
gptkbp:usedFor
|
color symmetry group
|
|
gptkbp:bfsParent
|
gptkb:SU(3)_algebra
|
|
gptkbp:bfsLayer
|
6
|