Projective Special Unitary Group
GPTKB entity
Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:abbreviation |
PSU(n)
|
| gptkbp:actsOn |
complex projective space
|
| gptkbp:centralTo |
trivial for n ≥ 3
|
| gptkbp:compact |
true
|
| gptkbp:definedIn |
complex numbers
|
| gptkbp:dimensions |
n^2-1
|
| gptkbp:field |
gptkb:mathematics
gptkb:Lie_groups group theory |
| gptkbp:hasConnection |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
Projective Special Unitary Group
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isQuotientOf |
Special Unitary Group
center of Special Unitary Group |
| gptkbp:isSimple |
true for n ≥ 3
n ≥ 2, except n=2 in some cases |
| gptkbp:notation |
PSU(n)
|
| gptkbp:relatedTo |
gptkb:Projective_Special_Linear_Group
Special Unitary Group Projective Linear Group Unitary Group |
| gptkbp:usedIn |
gptkb:theoretical_physics
quantum mechanics representation theory |
| gptkbp:bfsParent |
gptkb:PSU(n,q)
|
| gptkbp:bfsLayer |
6
|