Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:appearsIn |
mathematical physics
quantum mechanics representation theory |
| gptkbp:centralTo |
{±I} (for n > 1)
|
| gptkbp:compact |
true
|
| gptkbp:definedIn |
Real numbers
|
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:fullName |
Real symplectic group
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasSubgroup |
GL(2n, R)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Sp(2n, R)
|
| gptkbp:isSimple |
true (for n > 1)
|
| gptkbp:Lie_algebra |
gptkb:sp(2n,_R)
|
| gptkbp:maximalCompactSubgroup |
U(n)
|
| gptkbp:preserves |
symplectic form
|
| gptkbp:rank |
n
|
| gptkbp:realForm |
gptkb:Sp(2n,_C)
|
| gptkbp:relatedTo |
gptkb:Hamiltonian_mechanics
symplectic geometry |
| gptkbp:type |
Classical group
|
| gptkbp:bfsParent |
gptkb:Sp(2n,_C)
gptkb:sp(2n,_R) gptkb:sp(n) |
| gptkbp:bfsLayer |
8
|