|
gptkbp:instanceOf
|
gptkb:Lie_group
gptkb:orthogonal_group
|
|
gptkbp:adjointRepresentationDimension
|
45
|
|
gptkbp:CartanSubalgebraDimension
|
5
|
|
gptkbp:centralTo
|
gptkb:Z_4
|
|
gptkbp:compact
|
true
|
|
gptkbp:connects
|
true
|
|
gptkbp:describes
|
Group of 10x10 orthogonal matrices with determinant 1
|
|
gptkbp:dimensions
|
45
|
|
gptkbp:field
|
real numbers
|
|
gptkbp:fundamentalRepresentationDimension
|
10
|
|
gptkbp:generation
|
antisymmetric 10x10 real matrices
|
|
gptkbp:hasSubgroup
|
gptkb:SU(5)
gptkb:SO(5)xSO(5)
gptkb:SO(8)
gptkb:SO(9)
gptkb:SU(4)xSU(2)xSU(2)
O(10)
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:Lie_algebra
|
so(10)
|
|
gptkbp:maximalCompactSubgroupOf
|
gptkb:SO(10,C)
|
|
gptkbp:rank
|
5
|
|
gptkbp:realForm
|
gptkb:SO(10)
|
|
gptkbp:relatedTo
|
gptkb:grand_unified_theory
gptkb:symmetry
gptkb:SO(n)
gptkb:orthogonal_group
gptkb:Spin(10)
orthogonal group in 10 dimensions
|
|
gptkbp:rootSystemType
|
gptkb:D5
|
|
gptkbp:simplyConnectedCover
|
gptkb:Spin(10)
|
|
gptkbp:spinorRepresentationDimension
|
16
|
|
gptkbp:usedIn
|
gptkb:string_theory
particle physics
grand unified theories
|
|
gptkbp:WeylGroupOrder
|
3840
|
|
gptkbp:bfsParent
|
gptkb:SU(5)
gptkb:Grand_Unified_Field_Theory
|
|
gptkbp:bfsLayer
|
7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
SO(10)
|