Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:root
|
| gptkbp:appearsIn |
classification of simple Lie algebras
|
| gptkbp:associatedWith |
gptkb:special_orthogonal_Lie_algebra
|
| gptkbp:connectedTo |
gptkb:triality_(for_D_4)
|
| gptkbp:dimension_of_related_Lie_algebra |
n(2n-1)
|
| gptkbp:Dynkin_diagram |
D_n
|
| gptkbp:first_appears_for |
n=4
|
| gptkbp:hasAutomorphisms |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
D n root system
|
| gptkbp:isClassical |
true
|
| gptkbp:isIrreducible |
true
|
| gptkbp:isReduced |
true
|
| gptkbp:number_of_roots |
2n(n-1)
|
| gptkbp:partOf |
Lie algebra theory
|
| gptkbp:rank |
n
|
| gptkbp:related_Lie_algebra |
so(2n)
|
| gptkbp:relatedGroup |
gptkb:SO(2n)
gptkb:Spin(2n) |
| gptkbp:root_lengths |
all equal
|
| gptkbp:type |
simply laced
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
mathematical physics representation theory theory of Lie groups theory of Lie algebras |
| gptkbp:Weyl_group |
hyperoctahedral group
|
| gptkbp:bfsParent |
gptkb:D_n_root_lattice
|
| gptkbp:bfsLayer |
6
|