Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:centralTo |
gptkb:Z_2_×_Z_2
|
| gptkbp:compact |
true
|
| gptkbp:connectedTo |
true
|
| gptkbp:dimensions |
120
|
| gptkbp:Dynkin_diagram |
gptkb:D8
|
| gptkbp:fundamentalGroup |
trivial
|
| gptkbp:half-spin_representation_dimension |
128
|
| gptkbp:has_half-spin_representations |
true
|
| gptkbp:has_maximal_torus |
rank 8
|
| gptkbp:has_outer_automorphism_group |
gptkb:Z_2
|
| gptkbp:has_real_form |
compact
split |
| gptkbp:hasConnection |
true
|
| gptkbp:hasSubgroup |
gptkb:Spin(32)
|
| gptkbp:heldBy |
orthogonal group
double cover of SO(16) |
| https://www.w3.org/2000/01/rdf-schema#label |
Spin(16)
|
| gptkbp:isSemisimple |
true
|
| gptkbp:Lie_algebra |
so(16)
|
| gptkbp:rank |
8
|
| gptkbp:relatedTo |
triality
E8 × E8 Clifford algebra Cl(16) |
| gptkbp:used_in |
gptkb:string_theory
grand unified theories |
| gptkbp:bfsParent |
gptkb:Spin(12)
|
| gptkbp:bfsLayer |
8
|