Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:centralTo |
gptkb:Z/2Z_×_Z/2Z
|
| gptkbp:dimensions |
28
|
| gptkbp:has_three_8-dimensional_irreducible_representations |
yes
|
| gptkbp:has_triality_automorphism |
yes
|
| gptkbp:hasConnection |
yes
|
| gptkbp:hasSubgroup |
Clifford group Cl(8,C)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Spin(8,C)
|
| gptkbp:is_a_complex_Lie_group |
yes
|
| gptkbp:is_a_double_cover_of |
gptkb:SO(8,C)
|
| gptkbp:is_the_complexification_of |
gptkb:Spin(8)
|
| gptkbp:Lie_algebra |
so(8,C)
|
| gptkbp:rank |
4
|
| gptkbp:realForm |
gptkb:Spin(8)
Spin(0,8) Spin(1,7) Spin(2,6) Spin(3,5) Spin(4,4) Spin(5,3) Spin(6,2) Spin(7,1) Spin(8,0) Spin(8,R) Spin^*(8) |
| gptkbp:relatedTo |
triality
|
| gptkbp:type |
gptkb:D4
|
| gptkbp:bfsParent |
gptkb:Spin(8)
|
| gptkbp:bfsLayer |
7
|