projective special linear group PSL(n,C)
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
complex projective space
|
| gptkbp:centralTo |
trivial
|
| gptkbp:compact |
true
|
| gptkbp:definedIn |
SL(n,C) modulo its center
|
| gptkbp:dimensions |
n^2-1
|
| gptkbp:field |
complex numbers
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasTrivialCenter |
true (for n>2)
|
| https://www.w3.org/2000/01/rdf-schema#label |
projective special linear group PSL(n,C)
|
| gptkbp:isAlgebraicGroup |
true
|
| gptkbp:isNonAbelian |
true (for n>2)
|
| gptkbp:isQuotient |
SL(n,C) by its center
|
| gptkbp:isQuotientOf |
gptkb:SL(n,C)
|
| gptkbp:isSimple |
true (for n>2)
|
| gptkbp:notation |
PSL(n,C)
|
| gptkbp:order |
infinite (for n>1)
|
| gptkbp:relatedTo |
gptkb:general_linear_group_GL(n,C)
gptkb:special_linear_group_SL(n,C) projective linear group PGL(n,C) |
| gptkbp:usedIn |
gptkb:algebraic_geometry
differential geometry representation theory theory of Lie groups |
| gptkbp:bfsParent |
gptkb:special_linear_group_SL(n,C)
|
| gptkbp:bfsLayer |
7
|