Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_algebra_series
|
| gptkbp:A_1 |
isomorphic to sl(2)
|
| gptkbp:A_2 |
isomorphic to sl(3)
|
| gptkbp:A_3 |
isomorphic to sl(4)
|
| gptkbp:A_4 |
isomorphic to sl(5)
|
| gptkbp:alsoKnownAs |
gptkb:special_linear_Lie_algebra
|
| gptkbp:class |
gptkb:Lie_group
|
| gptkbp:dimensions |
n^2 + 2n
|
| gptkbp:Dynkin_diagram |
A_n
|
| gptkbp:field |
complex numbers
real numbers |
| gptkbp:firstMembers |
gptkb:A_1
|
| gptkbp:notation |
sl(n+1)
|
| gptkbp:partOf |
gptkb:Cartan_classification
|
| gptkbp:rank |
n
|
| gptkbp:relatedTo |
gptkb:geometry
gptkb:Young_tableaux gptkb:orthogonal_group SU(n+1) root system of type A |
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:theoretical_physics representation theory |
| gptkbp:Weyl_group |
gptkb:symmetric_group_S_{n+1}
|
| gptkbp:bfsParent |
gptkb:classical_Lie_algebras
|
| gptkbp:bfsLayer |
8
|
| http://www.w3.org/2000/01/rdf-schema#label |
A n series
|