Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:appearsIn |
gptkb:algebraic_geometry
quantum mechanics representation theory |
| gptkbp:centralTo |
cyclic group of order 2
|
| gptkbp:compact |
gptkb:compact_symplectic_group
|
| gptkbp:connects |
true
|
| gptkbp:definedIn |
complex numbers
real numbers |
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:generation |
symplectic matrices
|
| gptkbp:hasSubgroup |
gptkb:general_linear_group
|
| https://www.w3.org/2000/01/rdf-schema#label |
symplectic group Sp(n)
|
| gptkbp:isSimple |
true
|
| gptkbp:noncompactForm |
noncompact symplectic group
|
| gptkbp:notation |
gptkb:Sp(n)
|
| gptkbp:order |
infinite
|
| gptkbp:preserves |
symplectic form
|
| gptkbp:rank |
n
|
| gptkbp:relatedTo |
gptkb:Hamiltonian_mechanics
orthogonal group symplectic geometry symplectic manifold classical groups symplectic algebra |
| gptkbp:type |
gptkb:C_n
gptkb:Lie_group |
| gptkbp:bfsParent |
gptkb:Lie_group
|
| gptkbp:bfsLayer |
5
|