Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:Cartan_matrix |
generalized Cartan matrix of affine type A
|
| gptkbp:Dynkin_diagram |
affine Dynkin diagram of type A
|
| gptkbp:has_dual_Coxeter_number |
n+1
|
| gptkbp:has_finite_part |
gptkb:A_n_Lie_algebra
|
| gptkbp:has_Weyl_group |
affine Weyl group of type A
|
| gptkbp:hasApplication |
mathematical physics
|
| gptkbp:heldBy |
infinite-dimensional Lie algebra
untwisted affine Lie algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
affine A n
|
| gptkbp:is_a_central_extension_of |
loop algebra of sl(n+1)
|
| gptkbp:is_classified_by |
Kac classification
|
| gptkbp:rank |
n
|
| gptkbp:relatedTo |
gptkb:Kac–Moody_algebra
|
| gptkbp:used_in |
gptkb:quantum_field_theory
integrable systems representation theory |
| gptkbp:bfsParent |
gptkb:affine_Lie_algebras
|
| gptkbp:bfsLayer |
7
|