Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:alsoKnownAs |
so(10)
|
| gptkbp:automorphismGroup |
gptkb:S_3
|
| gptkbp:Cartan_matrix |
D
|
| gptkbp:centralTo |
gptkb:Z_4
|
| gptkbp:dimensions |
45
|
| gptkbp:Dynkin_diagram |
five nodes, with a fork at the end
|
| gptkbp:field |
complex numbers
|
| gptkbp:fundamentalRepresentationDimension |
10
120 126 16 45 |
| gptkbp:partOfSeries |
D_n Lie algebras
|
| gptkbp:rank |
5
|
| gptkbp:realForm |
so(10,0)
so(5,5) so(9,1) |
| gptkbp:relatedGroup |
gptkb:SO(10)
|
| gptkbp:relatedTo |
gptkb:Clifford_algebra_Cl(10)
spin(10) |
| gptkbp:type |
gptkb:Lie_group
gptkb:classical_Lie_algebra D_5 root system |
| gptkbp:usedIn |
gptkb:theoretical_physics
gptkb:Grand_Unified_Theories |
| gptkbp:WeylGroupOrder |
1920
|
| gptkbp:bfsParent |
gptkb:E_6_Lie_algebra
|
| gptkbp:bfsLayer |
10
|
| https://www.w3.org/2000/01/rdf-schema#label |
D 5 Lie algebra
|