projective special orthogonal group PSO(n)
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:abbreviation |
PSO(n)
|
| gptkbp:appearsIn |
gptkb:geometry
differential geometry representation theory |
| gptkbp:centerOfSO(n) |
{I, -I} for n > 2
|
| gptkbp:compact |
true
|
| gptkbp:definedIn |
SO(n) modulo its center
|
| gptkbp:dimensions |
n(n-1)/2
|
| gptkbp:hasConnection |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
projective special orthogonal group PSO(n)
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isQuotientOf |
gptkb:SO(n)
SO(n) by {I, -I} for n > 2 center of SO(n) |
| gptkbp:isSimple |
n > 2
|
| gptkbp:isSimpleLieGroupFor |
n > 2
|
| gptkbp:realForm |
gptkb:projective_orthogonal_group
|
| gptkbp:relatedTo |
gptkb:special_orthogonal_group_SO(n)
projective linear group PGL(n) |
| gptkbp:bfsParent |
gptkb:special_orthogonal_group_SO(n)
|
| gptkbp:bfsLayer |
6
|