Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:alsoKnownAs |
so(10)
|
| gptkbp:automorphismGroup |
gptkb:S_5
|
| gptkbp:Cartan_matrix |
D
|
| gptkbp:centralTo |
trivial
|
| gptkbp:dimensions |
45
|
| gptkbp:Dynkin_diagram |
gptkb:D5
|
| gptkbp:field |
complex numbers
|
| gptkbp:fundamentalRepresentationDimension |
10
|
| https://www.w3.org/2000/01/rdf-schema#label |
D5 Lie algebra
|
| gptkbp:partOfSeries |
Dn series
|
| gptkbp:rank |
5
|
| gptkbp:realForm |
so(10,0)
so(5,5) so(7,3) so(8,2) so(9,1) |
| gptkbp:relatedGroup |
gptkb:SO(10)
|
| gptkbp:relatedTo |
gptkb:Lie_group
orthogonal group Lie group SO(10) |
| gptkbp:spinorRepresentationDimension |
16
16' |
| gptkbp:type |
gptkb:Lie_group
gptkb:classical_Lie_algebra D5 root system |
| gptkbp:usedIn |
gptkb:theoretical_physics
gptkb:string_theory gptkb:Grand_Unified_Theories |
| gptkbp:WeylGroupOrder |
1920
|
| gptkbp:bfsParent |
gptkb:E6_Lie_algebra
|
| gptkbp:bfsLayer |
8
|