SO(8)

URI: https://gptkb.org/entity/SO(8)
GPTKB entity
Statements (28)
Predicate Object
gptkbp:instanceOf gptkb:Lie_group
gptkbp:automorphismGroup S3
gptkbp:centralTo Z2 × Z2
gptkbp:component gptkb:Z2
gptkbp:connects no
gptkbp:dimensions 28
gptkbp:field gptkb:mathematics
physics
gptkbp:fullName gptkb:Special_orthogonal_group_in_8_dimensions
gptkbp:fundamentalGroup gptkb:Z2
gptkbp:hasProperty triality symmetry
gptkbp:hasTriality yes
https://www.w3.org/2000/01/rdf-schema#label SO(8)
gptkbp:isometryGroupOf gptkb:7-sphere_(S^7)
gptkbp:maximalCompactSubgroupOf gptkb:O(8)
gptkbp:rank 4
gptkbp:relatedTo gptkb:Spin(8)
gptkb:D4_(Lie_algebra)
gptkb:O(8)
gptkbp:simplyConnectedCover gptkb:Spin(8)
gptkbp:type gptkb:D4
gptkb:Lie_group
gptkbp:usedIn gptkb:geometry
gptkb:theoretical_physics
representation theory
gptkbp:bfsParent gptkb:SO(10)
gptkb:teoría_de_cuerdas_tipo_IIB
gptkbp:bfsLayer 6