Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Lie algebra type
|
| gptkbp:alsoKnownAs |
gptkb:orthogonal_Lie_algebra
|
| gptkbp:Cartan_matrix |
B_n Cartan matrix
|
| gptkbp:correspondsTo |
so(2n+1)
|
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:Dynkin_diagram |
B_n
|
| gptkbp:field |
complex numbers
|
| gptkbp:firstAppearance |
classification of simple Lie algebras
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lie type B n
|
| gptkbp:noncompactRealForm |
so(p,q)
|
| gptkbp:rank |
n
|
| gptkbp:realForm |
so(2n+1)
so(p,q) with p+q=2n+1 |
| gptkbp:relatedGroup |
SO(2n+1)
Spin(2n+1) |
| gptkbp:relatedTo |
gptkb:Lie_group
semisimple Lie algebra |
| gptkbp:type |
B_n root system
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:theoretical_physics differential geometry representation theory |
| gptkbp:Weyl_group |
hyperoctahedral group
|
| gptkbp:bfsParent |
gptkb:Lie_type_D_n
|
| gptkbp:bfsLayer |
8
|