Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:adjointRepresentationDimension |
8
|
| gptkbp:alsoKnownAs |
gptkb:sl(3,C)
|
| gptkbp:associatedLieGroup |
gptkb:SL(3,C)
|
| gptkbp:CartanSubalgebraDimension |
2
|
| gptkbp:centralTo |
trivial
|
| gptkbp:class |
gptkb:classical_Lie_algebra
|
| gptkbp:dimensions |
8
|
| gptkbp:Dynkin_diagram |
two nodes connected by a single edge
|
| gptkbp:field |
complex numbers
|
| gptkbp:highestRoot |
sum of simple roots
|
| https://www.w3.org/2000/01/rdf-schema#label |
A 2 Lie algebra
|
| gptkbp:isomorphicTo |
gptkb:sl(3,C)
|
| gptkbp:KillingForm |
non-degenerate
|
| gptkbp:numberOfNegativeRoots |
3
|
| gptkbp:numberOfPositiveRoots |
3
|
| gptkbp:numberOfSimpleRoots |
2
|
| gptkbp:rank |
2
|
| gptkbp:realForm |
gptkb:su(3)
gptkb:sl(3,R) |
| gptkbp:represents |
fundamental representation is 3-dimensional
|
| gptkbp:structureConstants |
well-defined
|
| gptkbp:type |
gptkb:A_2
gptkb:Lie_group |
| gptkbp:Weyl_group |
gptkb:S_3
|
| gptkbp:bfsParent |
gptkb:E_6_Lie_algebra
|
| gptkbp:bfsLayer |
8
|