Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:adjoint_group |
PSO(12,C)
|
| gptkbp:Cartan_subalgebra_dimension |
6
|
| gptkbp:centralTo |
gptkb:Z/4Z
|
| gptkbp:complexification_of |
so(12,R)
|
| gptkbp:correspondsTo |
special orthogonal group SO(12,C)
|
| gptkbp:dimensions |
66
|
| gptkbp:Dynkin_type |
gptkb:D6
|
| gptkbp:field |
complex numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
so(12,C)
|
| gptkbp:Killing_form |
non-degenerate
|
| gptkbp:rank |
6
|
| gptkbp:realForm |
so(12,R)
|
| gptkbp:relatedTo |
orthogonal group
spin representation |
| gptkbp:simply_connected_group |
gptkb:Spin(12,C)
|
| gptkbp:split_form |
yes
|
| gptkbp:type |
gptkb:D6
gptkb:Lie_group gptkb:classical_Lie_algebra |
| gptkbp:bfsParent |
gptkb:so(12)
|
| gptkbp:bfsLayer |
8
|