projective special orthogonal group
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:abbreviation |
PSO(n)
|
| gptkbp:appearsIn |
gptkb:geometry
group theory representation theory |
| gptkbp:centralTo |
{I, -I} for n > 2
|
| gptkbp:defines |
the quotient group of the special orthogonal group SO(n) by its center
|
| gptkbp:dimensions |
n(n-1)/2
|
| gptkbp:field |
gptkb:mathematics
|
| https://www.w3.org/2000/01/rdf-schema#label |
projective special orthogonal group
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isQuotientOf |
gptkb:SO(n)
center of SO(n) |
| gptkbp:isSimple |
n > 2
|
| gptkbp:notation |
PSO(n)
|
| gptkbp:relatedTo |
gptkb:special_orthogonal_group_SO(n)
gptkb:orthogonal_group_O(n) gptkb:projective_unitary_group orthogonal group projective group projective linear group |
| gptkbp:bfsParent |
gptkb:SO(n,q)
|
| gptkbp:bfsLayer |
8
|