SO(9)

URI: https://gptkb.org/entity/SO(9)
GPTKB entity
Statements (25)
Predicate Object
gptkbp:instanceOf gptkb:Lie_group
gptkb:orthogonal_group
gptkbp:actsOn 9-dimensional real vector space
gptkbp:centralTo gptkb:Z/2Z
gptkbp:compact true
gptkbp:connects true
gptkbp:definedIn real numbers
gptkbp:dimensions 36
gptkbp:fundamentalGroup gptkb:Z/2Z
gptkbp:has_Cartan_subgroup T^4
gptkbp:hasSubgroup gptkb:GL(9,_R)
gptkbp:isSimple true
gptkbp:Lie_algebra so(9)
gptkbp:maximal_compact_subgroup_of O(9)
gptkbp:rank 4
gptkbp:realForm gptkb:SO(n)
gptkbp:relatedTo gptkb:orthogonal_group_O(9)
gptkbp:type gptkb:group_of_people
B4
gptkbp:universalCover gptkb:Spin(9)
gptkbp:bfsParent gptkb:SO(10)
gptkb:exceptional_Lie_group_F4
gptkb:Spin(9)
gptkbp:bfsLayer 8
https://www.w3.org/2000/01/rdf-schema#label SO(9)