Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:Cartan_matrix |
[[2, -2], [-2, 2]]
|
| gptkbp:Dynkin_diagram |
two nodes connected by a double arrow
|
| gptkbp:finite-dimensional_part |
sl(2)
|
| gptkbp:has_central_element |
c
|
| gptkbp:has_Chevalley_generators |
e_0, f_0, h_0, e_1, f_1, h_1
|
| gptkbp:has_derivation |
d
|
| gptkbp:has_highest_weight_representations |
yes
|
| gptkbp:has_root_system |
affine root system of type A_1^{(1)}
|
| https://www.w3.org/2000/01/rdf-schema#label |
affine sl(2)
|
| gptkbp:is_a_central_extension_of |
loop algebra of sl(2)
|
| gptkbp:Kac-Moody_type |
untwisted affine
|
| gptkbp:level |
integer parameter in representations
|
| gptkbp:notation |
A_1^{(1)}
|
| gptkbp:rank |
1
|
| gptkbp:relatedTo |
gptkb:Virasoro_algebra
gptkb:Wess-Zumino-Witten_model |
| gptkbp:used_in |
gptkb:quantum_field_theory
gptkb:string_theory representation theory |
| gptkbp:bfsParent |
gptkb:affine_Lie_algebras
|
| gptkbp:bfsLayer |
7
|