Spin group

URI: https://gptkb.org/entity/Spin_group

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:Mathematical_group
gptkbp:covers	gptkb:SO(n)
gptkbp:definedIn	gptkb:Complex_numbers Real numbers
gptkbp:dimensions	n(n-1)/2
gptkbp:doubleCoverOf	gptkb:Special_orthogonal_group
gptkbp:field	gptkb:Mathematics
gptkbp:hasProperty	Simply connected Non-abelian (for n>2)
gptkbp:hasSubgroup	gptkb:Clifford_group
gptkbp:introduced	gptkb:Élie_Cartan
gptkbp:notation	gptkb:Spin(n)
gptkbp:relatedTo	gptkb:Lie_group gptkb:Spinor gptkb:Orthogonal_group Spin manifold
gptkbp:universalCover	gptkb:SO(n)
gptkbp:usedIn	gptkb:geometry gptkb:Topology gptkb:Representation_theory gptkb:Theoretical_physics
gptkbp:bfsParent	gptkb:Special_Orthogonal_Group_in_3_dimensions gptkb:Special_Unitary_Group_of_degree_2 gptkb:real_Clifford_algebra
gptkbp:bfsLayer	8
https://www.w3.org/2000/01/rdf-schema#label	Spin group