Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:basisFor |
E
F H |
| gptkbp:centralTo |
0
|
| gptkbp:dimensions |
3
|
| gptkbp:field |
ℝ
|
| https://www.w3.org/2000/01/rdf-schema#label |
sl(2,ℝ)
|
| gptkbp:isSemisimple |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:matrixRepresentation |
traceless 2x2 real matrices
|
| gptkbp:realForm |
sl(2,ℂ)
|
| gptkbp:relatedGroup |
gptkb:SL(2,ℝ)
|
| gptkbp:structure |
[E,F]=H
[H,E]=2E [H,F]=-2F |
| gptkbp:usedIn |
gptkb:theoretical_physics
differential geometry representation theory |
| gptkbp:bfsParent |
gptkb:SL(2,ℝ)
|
| gptkbp:bfsLayer |
6
|