Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
complex vector spaces
symplectic vector spaces |
| gptkbp:alsoKnownAs |
unitary symplectic group
|
| gptkbp:appearsIn |
gptkb:gauge_theory
quantum mechanics theory of symmetric spaces |
| gptkbp:centralTo |
cyclic group of order 2
|
| gptkbp:definedIn |
complex numbers
real numbers |
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:hasSubgroup |
gptkb:general_linear_group
orthogonal group |
| gptkbp:heldBy |
gptkb:group_of_people
gptkb:Lie_group classical group non-abelian group reductive group connected Lie group simply connected group |
| https://www.w3.org/2000/01/rdf-schema#label |
compact symplectic group
|
| gptkbp:Lie_algebra |
compact symplectic Lie algebra
|
| gptkbp:maximal_compact_subgroup_of |
gptkb:symplectic_group_over_complex_numbers
|
| gptkbp:preserves |
symplectic form
|
| gptkbp:relatedTo |
mathematical physics
representation theory symplectic geometry |
| gptkbp:symbol |
gptkb:USp(2n)
|
| gptkbp:bfsParent |
gptkb:orthogonal_group
gptkb:Symplectic_group |
| gptkbp:bfsLayer |
5
|