Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
particle physics
quantum mechanics representation theory |
| gptkbp:compact |
true
|
| gptkbp:connects |
true
|
| gptkbp:containsElement |
unitary matrix
|
| gptkbp:defines |
group of unitary matrices under matrix multiplication
|
| gptkbp:dimensions |
n^2
|
| gptkbp:example |
gptkb:U(1)
gptkb:U(2) gptkb:U(3) |
| gptkbp:field |
gptkb:mathematics
group theory |
| gptkbp:hasSpecialCase |
orthogonal group
|
| https://www.w3.org/2000/01/rdf-schema#label |
unitary groups
|
| gptkbp:notation |
U(n)
|
| gptkbp:property |
non-abelian for n > 1
closed under matrix multiplication closed under taking inverses contains identity matrix |
| gptkbp:rank |
complex numbers
|
| gptkbp:relatedTo |
gptkb:general_linear_group
gptkb:group_of_people gptkb:Lie_group orthogonal group |
| gptkbp:usedIn |
gptkb:gauge_theory
gptkb:quantum_computing standard model of particle physics |
| gptkbp:bfsParent |
gptkb:Bott_periodicity_theorem
|
| gptkbp:bfsLayer |
6
|