projective general linear group of 2x2 real matrices
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
real projective line
|
| gptkbp:alsoKnownAs |
gptkb:PGL(2,_R)
|
| gptkbp:centerOfGL(2,_R) |
scalar multiples of identity matrix
|
| gptkbp:compact |
true
|
| gptkbp:contains |
gptkb:PSL(2,_R)
|
| gptkbp:definedIn |
GL(2, R) modulo scalar matrices
|
| gptkbp:dimensions |
3
|
| gptkbp:field |
real numbers
|
| gptkbp:hasConnection |
false
|
| gptkbp:hasSubgroup |
projective special linear group PSL(2, R)
|
| gptkbp:hasTwoComponents |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
projective general linear group of 2x2 real matrices
|
| gptkbp:isQuotientOf |
gptkb:GL(2,_R)
center of GL(2, R) |
| gptkbp:isSimple |
false
|
| gptkbp:relatedTo |
gptkb:PSL(2,_R)
|
| gptkbp:usedIn |
gptkb:geometry
gptkb:hyperbolic_geometry gptkb:Möbius_transformations |
| gptkbp:bfsParent |
gptkb:PGL(2,R)
|
| gptkbp:bfsLayer |
8
|