Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
C^n
|
| gptkbp:consistsOf |
n x n complex matrices
|
| gptkbp:definedIn |
complex numbers
|
| gptkbp:determinant |
±1
|
| gptkbp:dimensions |
n
|
| gptkbp:hasSubgroup |
gptkb:general_linear_group_GL(n,_C)
gptkb:special_orthogonal_group_SO(n,_C) |
| gptkbp:heldBy |
gptkb:algebraic_geometry
Zariski closed subgroup of GL(n, C) |
| https://www.w3.org/2000/01/rdf-schema#label |
orthogonal group O(n, C)
|
| gptkbp:identityElement |
identity matrix
|
| gptkbp:order |
infinite
|
| gptkbp:preserves |
complex symmetric bilinear form
|
| gptkbp:relatedTo |
gptkb:unitary_group_U(n)
gptkb:orthogonal_group_O(n,_R) |
| gptkbp:satisfies |
A^T A = I
|
| gptkbp:bfsParent |
gptkb:GL(n,_C)
|
| gptkbp:bfsLayer |
7
|