Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:classical_mechanics
gptkb:signal_processing gptkb:Hamiltonian_systems control theory quantum mechanics |
| gptkbp:definedIn |
even-dimensional vector space
|
| gptkbp:designer |
gptkb:symplectic_matrix
|
| gptkbp:determinant |
1 or -1 (for real matrices)
|
| gptkbp:dimensions |
2n × 2n
|
| gptkbp:field |
gptkb:mathematics
linear algebra symplectic geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
symplectic matrix
|
| gptkbp:introduced |
mathematicians studying symplectic geometry
|
| gptkbp:preserves |
symplectic form
|
| gptkbp:relatedGroup |
orthogonal group
|
| gptkbp:relatedTo |
orthogonal group
complex structure unitary matrix |
| gptkbp:transpose |
symplectic matrix (if and only if matrix is also orthogonal)
|
| gptkbp:bfsParent |
gptkb:symplectic_groups
|
| gptkbp:bfsLayer |
7
|