Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:centralTo |
gptkb:Z_2
|
| gptkbp:compact |
true
|
| gptkbp:connects |
true
|
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:field |
gptkb:mathematics
differential geometry group theory representation theory |
| gptkbp:fullName |
gptkb:compact_symplectic_group
|
| gptkbp:fundamentalGroup |
trivial
|
| https://www.w3.org/2000/01/rdf-schema#label |
Sp(n)
|
| gptkbp:isSimple |
true
|
| gptkbp:Lie_algebra |
gptkb:sp(n)
|
| gptkbp:maximal_torus |
U(1)^n
|
| gptkbp:rank |
n
|
| gptkbp:realization |
group of unitary 2n×2n matrices preserving a quaternionic Hermitian form
|
| gptkbp:relatedTo |
gptkb:SU(2n)
gptkb:USp(2n) orthogonal group |
| gptkbp:type |
gptkb:C_n
compact, simply connected, simple Lie group |
| gptkbp:usedIn |
gptkb:geometry
gptkb:theoretical_physics representation theory |
| gptkbp:bfsParent |
gptkb:holonomy_group
gptkb:symplectic_group_Sp(n) gptkb:Riemannian_holonomy_group gptkb:n-torus_T^n |
| gptkbp:bfsLayer |
6
|