Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:automorphismGroup |
S3
|
| gptkbp:Cartan_matrix |
D4 Cartan matrix
|
| gptkbp:class |
gptkb:classical_Lie_algebra
|
| gptkbp:complexification |
so(8, C)
|
| gptkbp:dimensions |
28
|
| gptkbp:Dynkin_diagram |
gptkb:D4
|
| gptkbp:field_of_definition |
complex numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
D4 (Lie algebra)
|
| gptkbp:number_of_positive_roots |
12
|
| gptkbp:number_of_simple_roots |
4
|
| gptkbp:rank |
4
|
| gptkbp:realForm |
so(8)
|
| gptkbp:relatedConcept |
triality
|
| gptkbp:relatedGroup |
gptkb:Spin(8)
gptkb:SO(8) |
| gptkbp:relatedTo |
gptkb:orthogonal_Lie_algebra
|
| gptkbp:type |
gptkb:Lie_group
semisimple Lie algebra D4 root system |
| gptkbp:Weyl_group |
Weyl group of type D4
|
| gptkbp:bfsParent |
gptkb:SO(8)
|
| gptkbp:bfsLayer |
7
|