|
gptkbp:instanceOf
|
gptkb:Lie_group
orthogonal group
|
|
gptkbp:adjoint_representation
|
45-dimensional
|
|
gptkbp:automorphismGroup
|
gptkb:Z_4
|
|
gptkbp:centralTo
|
gptkb:Z_4
|
|
gptkbp:compact
|
compact simple Lie group
|
|
gptkbp:complexification
|
gptkb:Spin(10,C)
|
|
gptkbp:dimensions
|
45
|
|
gptkbp:Dynkin_diagram
|
gptkb:D_5
|
|
gptkbp:fundamental_representation
|
10-dimensional
|
|
gptkbp:has_triality_symmetry
|
false
|
|
gptkbp:hasSubgroup
|
gptkb:Spin(11)
gptkb:Spin(12)
gptkb:E_6
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Spin(10)
|
|
gptkbp:is_a_connected_Lie_group
|
true
|
|
gptkbp:is_a_simple_Lie_group
|
true
|
|
gptkbp:is_the_double_cover_of
|
gptkb:SO(10)
|
|
gptkbp:Lie_algebra
|
so(10)
|
|
gptkbp:maximal_torus_dimension
|
5
|
|
gptkbp:rank
|
5
|
|
gptkbp:realForm
|
gptkb:Spin(10,C)
non-compact real Lie group
|
|
gptkbp:relatedTo
|
gptkb:Clifford_algebra_Cl(10)
gptkb:Pin(10)
gptkb:orthogonal_group_O(10)
gptkb:special_orthogonal_group_SO(10)
|
|
gptkbp:simply_connected
|
true
|
|
gptkbp:spinor_representation
|
16'-dimensional
16-dimensional
|
|
gptkbp:type
|
gptkb:D_5
|
|
gptkbp:used_in
|
gptkb:string_theory
gptkb:Grand_Unified_Theories
|
|
gptkbp:bfsParent
|
gptkb:SO(10)
gptkb:E_6
|
|
gptkbp:bfsLayer
|
6
|