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Special Unitary Group of degree 3
URI:
https://gptkb.org/entity/Special_Unitary_Group_of_degree_3
GPTKB entity
Statements (35)
Predicate
Object
gptkbp:instanceOf
gptkb:group_of_people
gptkb:Lie_group
simple group
compact group
gptkbp:abbreviation
gptkb:SU(3)
gptkbp:adjointRepresentation
8-dimensional
gptkbp:centralTo
cyclic group of order 3
gptkbp:definedIn
complex numbers
gptkbp:dimensions
8
gptkbp:firstChernClass
0
gptkbp:fundamentalRepresentation
3-dimensional
gptkbp:generation
gptkb:Gell-Mann_matrices
gptkbp:groupElements
3x3 unitary matrices with determinant 1
https://www.w3.org/2000/01/rdf-schema#label
Special Unitary Group of degree 3
gptkbp:isNonAbelian
true
gptkbp:Lie_algebra
gptkb:su(3)
gptkbp:maximalTorus
2-dimensional
gptkbp:orderOfCenter
3
gptkbp:rank
2
gptkbp:realForm
gptkb:SL(3,C)
gptkbp:relatedTo
gptkb:SU(2)
gptkb:SU(n)
gptkb:SU(1)
orthogonal group
gptkbp:simplyConnected
true
gptkbp:type
gptkb:A2
gptkbp:usedIn
gptkb:gauge_theory
gptkb:quantum_chromodynamics
gptkb:Standard_Model_of_particle_physics
particle physics
representation theory
theory of strong interactions
gptkbp:Weyl_group
gptkb:symmetric_group_S3
gptkbp:bfsParent
gptkb:SU(3)
gptkbp:bfsLayer
6