Special Orthogonal Group in 10 dimensions over the complex numbers
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:alsoKnownAs |
SO(10, C)
|
| gptkbp:application |
gptkb:theoretical_physics
representation theory grand unified theories |
| gptkbp:centralTo |
gptkb:Z_4
|
| gptkbp:connects |
yes
|
| gptkbp:dimensions |
45
|
| gptkbp:field |
complex numbers
|
| gptkbp:group_elements |
determinant 1
10x10 complex matrices preserve symmetric bilinear form |
| https://www.w3.org/2000/01/rdf-schema#label |
Special Orthogonal Group in 10 dimensions over the complex numbers
|
| gptkbp:Lie_algebra |
so(10, C)
|
| gptkbp:maximal_compact_subgroup |
gptkb:SO(10)
|
| gptkbp:rank |
5
|
| gptkbp:relatedTo |
gptkb:Lie_group
gptkb:Spin_group orthogonal group |
| gptkbp:simply_connected |
no
|
| gptkbp:type |
gptkb:D_5
gptkb:Lie_group classical group |
| gptkbp:universalCover |
Spin(10, C)
|
| gptkbp:bfsParent |
gptkb:SO(10,C)
|
| gptkbp:bfsLayer |
7
|