Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:alsoKnownAs |
sl(6,C)
|
| gptkbp:Cartan_type |
A
|
| gptkbp:centralTo |
trivial
|
| gptkbp:dimensions |
35
|
| gptkbp:Dynkin_diagram |
gptkb:A_5
|
| gptkbp:highest_weight_representation |
fundamental weights of A_5
|
| https://www.w3.org/2000/01/rdf-schema#label |
A 5 Lie algebra
|
| gptkbp:Killing_form |
non-degenerate
|
| gptkbp:rank |
5
complex numbers |
| gptkbp:realForm |
gptkb:su(6)
sl(6,R) |
| gptkbp:relatedTo |
special linear group SL(6)
|
| gptkbp:type |
gptkb:classical_Lie_algebra
A_5 root system |
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:theoretical_physics differential geometry representation theory |
| gptkbp:Weyl_group |
gptkb:symmetric_group_S_6
|
| gptkbp:bfsParent |
gptkb:E_6_Lie_algebra
|
| gptkbp:bfsLayer |
8
|