Statements (26)
Predicate | Object |
---|---|
gptkbp:instanceOf |
Lie algebra series
|
gptkbp:alsoKnownAs |
gptkb:special_orthogonal_Lie_algebra
so(2n) |
gptkbp:appearsIn |
gptkb:Cartan_classification
|
gptkbp:class |
gptkb:Lie_group
|
gptkbp:dimensions |
n(2n-1)
|
gptkbp:Dynkin_diagram |
D_n
|
gptkbp:formsComplexWith |
so(2n, C)
|
https://www.w3.org/2000/01/rdf-schema#label |
D n series
|
gptkbp:lowest_n |
n=4
|
gptkbp:rank |
n
|
gptkbp:realForm |
so(2n, R)
|
gptkbp:relatedTo |
gptkb:Lie_group
gptkb:SO(2n) gptkb:Spin(2n) gptkb:A_n_series gptkb:B_n_series gptkb:C_n_series orthogonal group even-dimensional rotation group |
gptkbp:type |
gptkb:D_n_root_system
|
gptkbp:usedIn |
gptkb:theoretical_physics
differential geometry representation theory |
gptkbp:bfsParent |
gptkb:classical_Lie_algebras
|
gptkbp:bfsLayer |
7
|