|
gptkbp:instanceOf
|
gptkb:group_of_people
gptkb:Lie_group
|
|
gptkbp:centralTo
|
{±I}
|
|
gptkbp:compact
|
true
|
|
gptkbp:complexDimension
|
3
|
|
gptkbp:dimensions
|
3
|
|
gptkbp:fullName
|
gptkb:Special_Unitary_Group_of_degree_2
|
|
gptkbp:fundamentalGroup
|
trivial
|
|
gptkbp:generation
|
Pauli matrices
|
|
gptkbp:hasSubgroup
|
gptkb:U(2)
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
SU(2)
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isomorphicTo
|
gptkb:3-sphere_(S^3)
gptkb:Spin(3)
unit quaternions
|
|
gptkbp:Lie_algebra
|
gptkb:su(2)
|
|
gptkbp:orderOfCenter
|
2
|
|
gptkbp:rank
|
1
|
|
gptkbp:realDimension
|
3
|
|
gptkbp:relatedTo
|
gptkb:group_of_people
gptkb:Peter–Weyl_theorem
gptkb:semisimple_Lie_group
gptkb:Bloch_sphere
gptkb:Lie_group
gptkb:Clebsch–Gordan_coefficients
gptkb:Young_tableaux
gptkb:Hopf_fibration
gptkb:Weyl_group_of_order_2
gptkb:Wigner_D-matrix
gptkb:root_system_A1
Cartan subalgebra
Lie bracket
exponential map
representation theory of Lie groups
orthogonal group
unitary matrices
spin-1/2 particles
irreducible representations
qubit
angular momentum algebra
determinant 1
double cover
|
|
gptkbp:simplyConnected
|
true
|
|
gptkbp:universalCover
|
gptkb:SO(3)
|
|
gptkbp:usedIn
|
gptkb:Yang–Mills_theory
gptkb:gauge_theory
particle physics
quantum mechanics
representation theory
|
|
gptkbp:bfsParent
|
gptkb:gauge_theory
|
|
gptkbp:bfsLayer
|
5
|