Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:topology gptkb:Lie_group |
| gptkbp:application |
particle physics
quantum mechanics representation theory |
| gptkbp:centralTo |
U(1) group
|
| gptkbp:compact |
true
|
| gptkbp:connects |
true
|
| gptkbp:containsElement |
3x3 unitary matrices
|
| gptkbp:determinant |
complex number of modulus 1
|
| gptkbp:dimensions |
9
|
| gptkbp:field |
complex numbers
|
| gptkbp:fullName |
unitary group of degree 3
|
| gptkbp:hasSubgroup |
gptkb:SU(3)_group
GL(3, C) |
| gptkbp:homomorphism |
determinant map to U(1)
|
| https://www.w3.org/2000/01/rdf-schema#label |
U(3) group
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isQuotientOf |
U(3)/SU(3) ≅ U(1)
|
| gptkbp:Lie_algebra |
u(3)
|
| gptkbp:maximalTorus |
U(1) x U(1) x U(1)
|
| gptkbp:notation |
gptkb:U(3)
|
| gptkbp:order |
infinite
|
| gptkbp:rank |
3
|
| gptkbp:realDimension |
9
|
| gptkbp:relatedTo |
gptkb:SU(3)_group
GL(3, C) O(3) group U(n) group |
| gptkbp:bfsParent |
gptkb:SU(3)_group
|
| gptkbp:bfsLayer |
7
|