Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:root
|
| gptkbp:associatedWith |
gptkb:symplectic_Lie_algebra
|
| gptkbp:dimension_of_ambient_space |
n
|
| gptkbp:dual_root_system |
B_n
|
| gptkbp:Dynkin_diagram |
C_n diagram
|
| https://www.w3.org/2000/01/rdf-schema#label |
root system C n
|
| gptkbp:long_roots |
2e_i
|
| gptkbp:number_of_roots |
2n^2
|
| gptkbp:rank |
n
|
| gptkbp:relatedTo |
gptkb:Lie_algebra_sp(2n)
|
| gptkbp:short_roots |
e_i ± e_j
|
| gptkbp:type |
classical root system
|
| gptkbp:usedIn |
gptkb:Lie_theory
representation theory algebraic groups |
| gptkbp:Weyl_group |
hyperoctahedral group
|
| gptkbp:bfsParent |
gptkb:Lie_type_C_n
|
| gptkbp:bfsLayer |
8
|