Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:actsOn |
4-dimensional real symplectic vector space
|
| gptkbp:centralTo |
{±I}
|
| gptkbp:connectedTo |
true
|
| gptkbp:dimensions |
10
|
| gptkbp:field |
real numbers
|
| gptkbp:fullName |
Symplectic group of degree 2 over the real numbers
|
| gptkbp:hasSubgroup |
GL(4, R)
Sp(4, R) |
| https://www.w3.org/2000/01/rdf-schema#label |
Sp(2, R)
|
| gptkbp:is_a_non-compact_group |
true
|
| gptkbp:is_linear_algebraic_group |
true
|
| gptkbp:is_matrix_group |
true
|
| gptkbp:isSemisimple |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:Lie_algebra |
sp(2, R)
|
| gptkbp:preserves |
symplectic form
|
| gptkbp:rank |
2
|
| gptkbp:realForm |
gptkb:Sp(4,_C)
|
| gptkbp:relatedTo |
gptkb:Hamiltonian_mechanics
symplectic geometry |
| gptkbp:bfsParent |
gptkb:symplectic_groups
|
| gptkbp:bfsLayer |
7
|