Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
orthogonal group |
| gptkbp:actsOn |
32-dimensional real vector space
|
| gptkbp:centralTo |
gptkb:Z_2
|
| gptkbp:compact |
true
|
| gptkbp:complexification |
SO(32,C)
|
| gptkbp:connects |
true
|
| gptkbp:determinant |
1
|
| gptkbp:dimensions |
496
|
| gptkbp:field |
real numbers
|
| gptkbp:fundamentalGroup |
gptkb:Z_2
|
| gptkbp:generation |
antisymmetric 32x32 real matrices
|
| https://www.w3.org/2000/01/rdf-schema#label |
SO(32) group
|
| gptkbp:isSimple |
true
|
| gptkbp:Lie_algebra |
so(32)
|
| gptkbp:maximal_torus |
rank 16 torus
|
| gptkbp:notation |
gptkb:SO(32)
|
| gptkbp:preserves |
Euclidean metric
quadratic form |
| gptkbp:rank |
16
|
| gptkbp:realForm |
gptkb:SO(32)
|
| gptkbp:relatedTo |
E8 x E8 group
Spin(32) group orthogonal group O(32) |
| gptkbp:simply_connected_cover |
gptkb:Spin(32)
|
| gptkbp:type |
D_{16}
|
| gptkbp:used_in |
gptkb:string_theory
|
| gptkbp:Weyl_group |
2^{15} x 16!
|
| gptkbp:bfsParent |
gptkb:SO(32)_gauge_symmetry
|
| gptkbp:bfsLayer |
7
|