Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
orthogonal group |
| gptkbp:centralTo |
gptkb:Z_4
|
| gptkbp:connects |
yes
|
| gptkbp:definedIn |
group of 10x10 complex matrices preserving a non-degenerate symmetric bilinear form with determinant 1
|
| gptkbp:dimensions |
45
|
| gptkbp:field |
complex numbers
|
| gptkbp:hasSubgroup |
GL(10,ℂ)
|
| https://www.w3.org/2000/01/rdf-schema#label |
SO(10,ℂ)
|
| gptkbp:isSimple |
yes
|
| gptkbp:Lie_algebra |
so(10,ℂ)
|
| gptkbp:maximal_compact_subgroup |
gptkb:SO(10)
|
| gptkbp:rank |
5
|
| gptkbp:relatedTo |
orthogonal group
Spin(10,ℂ) |
| gptkbp:type |
gptkb:D5
|
| gptkbp:usedIn |
grand unified theories
|
| gptkbp:bfsParent |
gptkb:SO(10,C)
|
| gptkbp:bfsLayer |
7
|