projective general linear group PGL(n, C)
GPTKB entity
Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:mathematical_concept |
| gptkbp:actsOn |
complex projective space
|
| gptkbp:constructedAs |
quotient group
|
| gptkbp:definedIn |
complex numbers
|
| gptkbp:dimensions |
n^2 - 1
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasSubgroup |
gptkb:projective_special_linear_group_PSL(n,_C)
|
| gptkbp:heldBy |
gptkb:Lie_group
group of projective transformations |
| https://www.w3.org/2000/01/rdf-schema#label |
projective general linear group PGL(n, C)
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isQuotientOf |
gptkb:general_linear_group_GL(n,_C)
center of GL(n, C) |
| gptkbp:isSimple |
false (for n = 2)
true (for n > 2, modulo center) |
| gptkbp:notation |
gptkb:PGL(n,_C)
|
| gptkbp:order |
infinite (for n > 1)
|
| gptkbp:originatedIn |
gptkb:algebraic_geometry
gptkb:geometry group theory representation theory |
| gptkbp:relatedTo |
gptkb:projective_special_linear_group_PSL(n,_C)
|
| gptkbp:bfsParent |
gptkb:projective_unitary_group_PU(n)
|
| gptkbp:bfsLayer |
7
|