Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
Lie algebra series |
| gptkbp:class |
gptkb:Cartan_classification
|
| gptkbp:complexForm |
so(2n+1, C)
|
| gptkbp:correspondsTo |
so(2n+1)
|
| gptkbp:dimensionFormula |
n(2n+1)
|
| gptkbp:field |
gptkb:Lie_theory
gptkb:algebra gptkb:mathematics representation theory |
| gptkbp:firstMembers |
so(3)
|
| https://www.w3.org/2000/01/rdf-schema#label |
B n series
|
| gptkbp:namedFor |
gptkb:Élie_Cartan
|
| gptkbp:notation |
B_n
|
| gptkbp:rank |
n
|
| gptkbp:realForm |
so(2n+1, R)
|
| gptkbp:relatedTo |
gptkb:orthogonal_Lie_algebras
gptkb:A_n_series gptkb:C_n_series gptkb:D_n_series simple Lie algebras |
| gptkbp:type |
gptkb:classical_Lie_algebra
B_n root system |
| gptkbp:usedIn |
theory of Lie groups
theory of Lie algebras |
| gptkbp:Weyl_group |
hyperoctahedral group
|
| gptkbp:bfsParent |
gptkb:classical_Lie_algebras
|
| gptkbp:bfsLayer |
7
|