Special Unitary Group of degree 2

URI: https://gptkb.org/entity/Special_Unitary_Group_of_degree_2
GPTKB entity
Statements (42)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkb:Lie_group
simple group
compact group
gptkbp:abbreviation gptkb:SU(2)
gptkbp:centralTo cyclic group of order 2
gptkbp:compact true
gptkbp:connects true
gptkbp:containsElement 2x2 unitary matrices with determinant 1
gptkbp:definedIn complex numbers
gptkbp:dimensions 3
gptkbp:doubleCoverOf gptkb:SO(3)
gptkbp:fundamentalGroup trivial group
gptkbp:generatorAlgebra su(2) Lie algebra
gptkbp:homotopyType gptkb:3-sphere
https://www.w3.org/2000/01/rdf-schema#label Special Unitary Group of degree 2
gptkbp:isNonAbelian true
gptkbp:isomorphicTo group of unit quaternions
gptkbp:isSimple true
gptkbp:maximalTorus gptkb:U(1)
gptkbp:order infinite
gptkbp:rank 1
gptkbp:realForm gptkb:SL(2,C)
gptkb:SU(2)
gptkbp:relatedTo gptkb:SU(n)
gptkb:Spin_group
gptkb:Unitary_group
Pauli matrices
Special Unitary Group
angular momentum in quantum mechanics
spin-1/2 representation
gptkbp:simplyConnected true
gptkbp:type A1
gptkbp:universalCover gptkb:SO(3)
gptkbp:usedIn gptkb:gauge_theory
particle physics
quantum mechanics
representation theory
spinors
gptkbp:Weyl_group gptkb:Z/2Z
gptkbp:bfsParent gptkb:SU(2)
gptkbp:bfsLayer 6