gptkbp:instanceOf
|
gptkb:mathematical_concept
gptkb:symmetry
|
gptkbp:compact
|
true
|
gptkbp:covers
|
gptkb:SO(3)
|
gptkbp:dimensions
|
3
|
gptkbp:form
|
gptkb:group_of_people
gptkb:Riemannian_manifold
|
gptkbp:generation
|
Pauli matrices
|
https://www.w3.org/2000/01/rdf-schema#label
|
SU(2) symmetry
|
gptkbp:isomorphicTo
|
orthogonal group
unit quaternions
|
gptkbp:mathematicalDefinition
|
group of 2x2 unitary matrices with determinant 1
|
gptkbp:orderOfGroup
|
infinite
|
gptkbp:rank
|
1
|
gptkbp:relatedTo
|
gptkb:Higgs_mechanism
gptkb:Yang–Mills_theory
gptkb:U(1)_symmetry
gptkb:Lie_group
gptkb:W_boson
gptkb:Z_boson
gptkb:SU(2)_group
adjoint representation
orthogonal group
SU(3) symmetry
chiral symmetry
flavor symmetry
triplet
fundamental representation
doublet
gauge boson
isospin symmetry
lepton doublet
quark doublet
|
gptkbp:representationTheory
|
irreducible representations
spin representations
|
gptkbp:role
|
electroweak interaction
spin angular momentum
weak isospin
|
gptkbp:simplyConnected
|
true
|
gptkbp:usedIn
|
gptkb:gauge_theory
gptkb:Standard_Model
particle physics
quantum mechanics
|
gptkbp:bfsParent
|
gptkb:loop_quantum_gravity
|
gptkbp:bfsLayer
|
5
|