SO(7, R)

URI: https://gptkb.org/entity/SO(7,_R)

GPTKB entity

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)