Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:appearsIn |
gptkb:quantum_field_theory
modular forms |
| gptkbp:basisFor |
{E, F, H}
|
| gptkbp:Cartan_subalgebra_dimension |
1
|
| gptkbp:centralTo |
{0}
|
| gptkbp:dimensions |
3
|
| gptkbp:field |
real numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
sl(2,R)
|
| gptkbp:isomorphicTo |
so(2,1)
|
| gptkbp:isSimple |
true
|
| gptkbp:Killing_form_signature |
(2,1)
|
| gptkbp:realForm |
gptkb:sl(2,C)
|
| gptkbp:relatedGroup |
gptkb:SL(2,R)
|
| gptkbp:split_real_form |
true
|
| gptkbp:structure_constants |
[H,E]=2E, [H,F]=-2F, [E,F]=H
|
| gptkbp:type |
A1
|
| gptkbp:used_in |
gptkb:theoretical_physics
differential geometry representation theory |
| gptkbp:bfsParent |
gptkb:PSL(2,R)
|
| gptkbp:bfsLayer |
7
|