Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:application |
gptkb:theoretical_physics
differential geometry representation theory |
| gptkbp:centralTo |
{identity, -I}
|
| gptkbp:connects |
true
|
| gptkbp:describes |
Group of 7x7 orthogonal matrices with determinant 1
|
| gptkbp:dimensions |
21
|
| gptkbp:field |
real numbers
|
| gptkbp:fullName |
Special orthogonal group in 7 dimensions
|
| gptkbp:fundamentalGroup |
gptkb:Z/2Z
|
| gptkbp:hasDoubleCover |
gptkb:Spin(7)
|
| gptkbp:hasSubgroup |
O(7)
|
| https://www.w3.org/2000/01/rdf-schema#label |
SO(7)
|
| gptkbp:Lie_algebra |
gptkb:so(7)
|
| gptkbp:maximalCompactSubgroup |
gptkb:SO(7)
|
| gptkbp:notation |
gptkb:SO(7,_R)
|
| gptkbp:rank |
3
|
| gptkbp:relatedTo |
gptkb:G2
gptkb:Spin(7) O(7) |
| gptkbp:type |
gptkb:B3
gptkb:Lie_group |
| gptkbp:Weyl_group |
gptkb:W(B3)
|
| gptkbp:bfsParent |
gptkb:G_2
|
| gptkbp:bfsLayer |
6
|