Special orthogonal group in 5 dimensions
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
5-dimensional Euclidean space
|
| gptkbp:centralTo |
{I, -I}
|
| gptkbp:compact |
true
|
| gptkbp:connectedTo |
true
|
| gptkbp:determinant |
1
|
| gptkbp:dimensions |
10
|
| gptkbp:elements_are |
5x5 real orthogonal matrices with determinant 1
|
| gptkbp:fundamentalGroup |
gptkb:Z/2Z
|
| gptkbp:hasSubgroup |
general linear group in 5 dimensions
orthogonal group in 5 dimensions |
| https://www.w3.org/2000/01/rdf-schema#label |
Special orthogonal group in 5 dimensions
|
| gptkbp:is_a_classical_group |
true
|
| gptkbp:is_maximal_compact_subgroup_of |
gptkb:SO(5,_C)
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isSemisimple |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:Lie_algebra |
so(5)
|
| gptkbp:notation |
gptkb:SO(5)
|
| gptkbp:preserves |
gptkb:Euclidean_inner_product
|
| gptkbp:rank |
2
|
| gptkbp:realForm |
gptkb:SO(5,_C)
|
| gptkbp:relatedTo |
symplectic group Sp(2)
|
| gptkbp:universalCover |
gptkb:Spin(5)
|
| gptkbp:bfsParent |
gptkb:SO(5)
|
| gptkbp:bfsLayer |
8
|