Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
classical group |
| gptkbp:actsOn |
n-dimensional vector space over finite field with q^2 elements
|
| gptkbp:alsoKnownAs |
general unitary group
|
| gptkbp:application |
gptkb:algebraic_geometry
representation theory finite group theory |
| gptkbp:definedIn |
finite field with q^2 elements
|
| gptkbp:hasSubgroup |
general linear group GL(n,q^2)
|
| https://www.w3.org/2000/01/rdf-schema#label |
unitary group U(n,q)
|
| gptkbp:notation |
GU(n,q)
|
| gptkbp:order |
q^{n(n-1)/2} * \\prod_{i=1}^n (q^i - (-1)^i)
|
| gptkbp:preserves |
non-degenerate Hermitian form
|
| gptkbp:relatedTo |
projective unitary group PU(n,q)
special unitary group SU(n,q) |
| gptkbp:bfsParent |
gptkb:orthogonal_group_O(n,q)
|
| gptkbp:bfsLayer |
8
|