B3 (in Cartan classification)
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Lie algebra type
|
| gptkbp:Cartan_classification |
gptkb:B3
|
| gptkbp:classical_Lie_algebra |
true
|
| gptkbp:correspondsTo |
gptkb:so(7)
special orthogonal Lie algebra in 7 dimensions |
| gptkbp:dimensions |
21
|
| gptkbp:Dynkin_diagram |
three nodes, with a double bond between the second and third nodes
|
| gptkbp:formsComplexWith |
so(7, C)
|
| https://www.w3.org/2000/01/rdf-schema#label |
B3 (in Cartan classification)
|
| gptkbp:rank |
3
|
| gptkbp:realForm |
so(7, R)
|
| gptkbp:relatedGroup |
gptkb:SO(7)
gptkb:Spin(7) |
| gptkbp:simple_Lie_algebra |
true
|
| gptkbp:type |
B3 root system
|
| gptkbp:Weyl_group |
Weyl group of type B3
|
| gptkbp:bfsParent |
gptkb:Spin(7,C)
|
| gptkbp:bfsLayer |
8
|