Special Unitary Group of degree 2

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:group_of_people gptkb:Lie_group gptkb:simple_group gptkb: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
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	7
https://www.w3.org/2000/01/rdf-schema#label	Special Unitary Group of degree 2