Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:actsOn |
C^8
|
| gptkbp:centralTo |
gptkb:Z/2Z_×_Z/2Z
|
| gptkbp:connects |
yes
|
| gptkbp:dimensions |
28
|
| gptkbp:Dynkin_diagram |
gptkb:D4
|
| gptkbp:field |
complex numbers
|
| gptkbp:fullName |
Special Orthogonal Group in 8 dimensions over the complex numbers
|
| gptkbp:hasSubgroup |
GL(8,C)
|
| https://www.w3.org/2000/01/rdf-schema#label |
SO(8,C)
|
| gptkbp:isQuotientOf |
gptkb:Spin(8,C)
|
| gptkbp:isSimple |
yes
|
| gptkbp:maximalCompactSubgroup |
gptkb:SO(8)
|
| gptkbp:preserves |
complex quadratic form
|
| gptkbp:rank |
4
|
| gptkbp:realForm |
gptkb:SO(8)
SO(p,8-p) |
| gptkbp:relatedGroup |
gptkb:group_of_people
|
| gptkbp:relatedTo |
gptkb:Lie_group
orthogonal group triality |
| gptkbp:type |
D4 (in Cartan classification)
|
| gptkbp:universalCover |
gptkb:Spin(8,C)
|
| gptkbp:bfsParent |
gptkb:Spin(7,C)
gptkb:Spin(8,C) gptkb:Special_orthogonal_group_in_8_dimensions |
| gptkbp:bfsLayer |
8
|