Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
|
| gptkbp:Cartan_matrix |
tridiagonal matrix with 2 on the diagonal and -1 on the off-diagonal
|
| gptkbp:classificationOf |
simple Lie algebras
simple algebraic groups |
| gptkbp:Coxeter_number |
n+1
|
| gptkbp:edgeCount |
n-1
|
| gptkbp:graphType |
simply-laced
|
| https://www.w3.org/2000/01/rdf-schema#label |
An (Dynkin type)
|
| gptkbp:Lie_algebra |
sl(n+1)
|
| gptkbp:namedAfter |
gptkb:Wilhelm_Killing
gptkb:Eugene_Dynkin |
| gptkbp:relatedTo |
gptkb:geometry
Grassmannian orthogonal group SU(n+1) |
| gptkbp:symmetry |
gptkb:symmetric_group_S_{n+1}
|
| gptkbp:type |
A_n
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
mathematical physics representation theory |
| gptkbp:vertices |
n
|
| gptkbp:bfsParent |
gptkb:A4_(Dynkin_type)
|
| gptkbp:bfsLayer |
7
|