Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
gptkb:root |
| gptkbp:Cartan_matrix |
[[2, -1], [-1, 2]]
|
| gptkbp:correspondsTo |
Lie algebra sl(3)
|
| gptkbp:CoxeterNumber |
3
|
| gptkbp:dimensionOfLieAlgebra |
8
|
| gptkbp:dualCoxeterNumber |
3
|
| gptkbp:Dynkin_diagram |
two nodes connected by a single edge
|
| gptkbp:numberOfPositiveRoots |
3
|
| gptkbp:numberOfRooms |
2
|
| gptkbp:numberOfSimpleRoots |
2
|
| gptkbp:rank |
2
|
| gptkbp:relatedTo |
gptkb:SU(3)
G2 (as a subdiagram) |
| gptkbp:type |
gptkb:Lie_group
hexagonal lattice |
| gptkbp:usedIn |
representation theory
classification of semisimple Lie algebras theory of algebraic groups |
| gptkbp:Weyl_group |
gptkb:symmetric_group_S3
|
| gptkbp:bfsParent |
gptkb:SU(3)_group
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
A2 (Dynkin classification)
|