symplectic group over real numbers
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
real symplectic vector space
|
| gptkbp:centralTo |
{±I}
|
| gptkbp:connectedTo |
true
|
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:field |
real numbers
|
| gptkbp:hasSubgroup |
general linear group over real numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
symplectic group over real numbers
|
| gptkbp:is_non-compact |
true
|
| gptkbp:isSemisimple |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:notation |
Sp(2n, ℝ)
|
| gptkbp:preserves |
symplectic form
|
| gptkbp:relatedTo |
gptkb:Hamiltonian_mechanics
gptkb:algebraic_geometry gptkb:classical_mechanics representation theory orthogonal group symplectic geometry |
| gptkbp:bfsParent |
gptkb:symplectic_groups
gptkb:symplectic_group_over_complex_numbers |
| gptkbp:bfsLayer |
7
|