Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
complex projective space
|
| gptkbp:centralTo |
cyclic group of order n for n>2
trivial for n=2 |
| gptkbp:compact |
true
|
| gptkbp:definedIn |
SL(n, C) modulo its center
|
| gptkbp:dimensions |
n^2 - 1
|
| gptkbp:field |
complex numbers
|
| gptkbp:fullName |
Projective Special Linear Group over the complex numbers
|
| gptkbp:hasConnection |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
PSL(n, C)
|
| gptkbp:importantFor |
gptkb:algebraic_geometry
differential geometry representation theory theory of Lie groups |
| gptkbp:isNonAbelian |
true for n>1
|
| gptkbp:isQuotientOf |
gptkb:SL(n,_C)
center of SL(n, C) |
| gptkbp:isSimple |
true for n>2
|
| gptkbp:notation |
gptkb:PSL(n,_C)
|
| gptkbp:relatedTo |
gptkb:SL(n,_C)
|
| gptkbp:bfsParent |
gptkb:SL(n,_C)
|
| gptkbp:bfsLayer |
7
|