projective linear group PGL(n+1)
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
gptkb:group_of_people gptkb:Lie_group |
| gptkbp:actsOn |
projective space of dimension n
|
| gptkbp:automorphismGroup |
gptkb:geometry
|
| gptkbp:definedIn |
gptkb:Field
|
| gptkbp:dimensions |
(n+1)^2 - 1
|
| gptkbp:fullName |
projective general linear group
|
| https://www.w3.org/2000/01/rdf-schema#label |
projective linear group PGL(n+1)
|
| gptkbp:isQuotientOf |
center of GL(n+1)
general linear group GL(n+1) |
| gptkbp:isSimple |
n > 1 and field not of characteristic 2
|
| gptkbp:notation |
PGL(n+1)
|
| gptkbp:originatedIn |
gptkb:algebraic_geometry
gptkb:geometry representation theory |
| gptkbp:relatedTo |
projective special linear group PSL(n+1)
|
| gptkbp:bfsParent |
gptkb:projective_space_P^n
|
| gptkbp:bfsLayer |
7
|