SO(7, R)

URI: https://gptkb.org/entity/SO(7,_R)
GPTKB entity
Statements (28)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkb:Lie_group
gptkb:orthogonal_group
gptkbp:actsOn R^7
gptkbp:centralTo {I, -I}
gptkbp:compact yes
gptkbp:connects yes
gptkbp:determinant 1
gptkbp:dimensions 21
gptkbp:field real numbers
gptkbp:fundamentalGroup gptkb:Z/2Z
gptkbp:group_order infinite
gptkbp:isSimple yes
gptkbp:Lie_algebra so(7, R)
gptkbp:maximal_compact_subgroup_of gptkb:O(7,_R)
gptkbp:preserves gptkb:Euclidean_inner_product
orientation
gptkbp:rank 3
gptkbp:realForm gptkb:SO(7,_C)
gptkbp:relatedTo gptkb:G2
gptkb:SO(n,_R)
gptkb:Spin(7)
gptkb:O(7,_R)
gptkbp:type gptkb:orthogonal_group
gptkbp:universalCover gptkb:Spin(7)
gptkbp:bfsParent gptkb:SO(7)
gptkbp:bfsLayer 8
https://www.w3.org/2000/01/rdf-schema#label SO(7, R)