projective general linear group over the complex numbers
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
gptkb:group_of_people |
| gptkbp:actsOn |
complex projective space
|
| gptkbp:alsoKnownAs |
gptkb:PGL(n,_C)
|
| gptkbp:compact |
true
|
| gptkbp:constructedAs |
quotient of general linear group by scalar matrices
|
| gptkbp:contains |
projective special linear group over the complex numbers
|
| gptkbp:definedIn |
complex numbers
|
| gptkbp:dimensions |
n^2 - 1
|
| gptkbp:hasConnection |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
projective general linear group over the complex numbers
|
| gptkbp:isAlgebraicGroup |
true
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isQuotientOf |
gptkb:GL(n,_C)
center of GL(n, C) |
| gptkbp:isReductive |
true
|
| gptkbp:isSimple |
n > 2
|
| gptkbp:notation |
gptkb:PGL(n,_C)
|
| gptkbp:originatedIn |
gptkb:algebraic_geometry
gptkb:geometry group theory representation theory |
| gptkbp:relatedTo |
gptkb:general_linear_group
|
| gptkbp:bfsParent |
gptkb:PGL(n,_C)
gptkb:projective_linear_group_PGL(n,_C) gptkb:PGL(n,C) |
| gptkbp:bfsLayer |
8
|