Special orthogonal group in 8 dimensions
GPTKB entity
Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group classical group |
| gptkbp:centralTo |
Z2 x Z2
|
| gptkbp:compact |
true
|
| gptkbp:connectedTo |
true
|
| gptkbp:definedIn |
real numbers
|
| gptkbp:dimensions |
28
|
| gptkbp:fundamentalGroup |
gptkb:Z2
|
| gptkbp:has_maximal_torus |
4-dimensional
|
| gptkbp:has_root_system |
gptkb:D4
|
| gptkbp:has_triality_automorphism |
true
|
| gptkbp:hasSubgroup |
general linear group in 8 dimensions
orthogonal group in 8 dimensions |
| https://www.w3.org/2000/01/rdf-schema#label |
Special orthogonal group in 8 dimensions
|
| gptkbp:is_double_cover_of |
gptkb:Spin(8)
|
| gptkbp:is_real_form_of |
gptkb:SO(8,C)
|
| gptkbp:isSimple |
true
|
| gptkbp:Lie_algebra |
so(8)
|
| gptkbp:rank |
4
|
| gptkbp:relatedTo |
gptkb:Spin(8)
gptkb:octonions gptkb:Clifford_algebra_Cl(8) |
| gptkbp:symbol |
gptkb:SO(8)
|
| gptkbp:used_in |
gptkb:geometry
gptkb:theory_of_spinors mathematical physics representation theory theory of Lie groups |
| gptkbp:bfsParent |
gptkb:SO(8)
|
| gptkbp:bfsLayer |
7
|