Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
|
| gptkbp:associatedWith |
gptkb:Lie_group
Dynkin diagram of type A_n Lie algebra of type A_n |
| gptkbp:correspondsTo |
special linear Lie algebra sl(n+1)
|
| gptkbp:determinant |
n+1
|
| gptkbp:entries |
-1 on the subdiagonal
-1 on the superdiagonal 0 elsewhere 2 on the diagonal |
| gptkbp:field |
gptkb:Lie_theory
gptkb:mathematics |
| https://www.w3.org/2000/01/rdf-schema#label |
Cartan matrix of type A n
|
| gptkbp:satisfies |
gptkb:generalized_Cartan_matrix
symmetrizable indecomposable |
| gptkbp:size |
n x n
|
| gptkbp:usedIn |
representation theory
classification of semisimple Lie algebras root system of type A_n |
| gptkbp:bfsParent |
gptkb:A_n_Lie_algebra
|
| gptkbp:bfsLayer |
8
|