Statements (35)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:centralTo |
itself
|
| gptkbp:compact |
true
|
| gptkbp:complexDimension |
0
|
| gptkbp:containsElement |
complex numbers of unit modulus
|
| gptkbp:dimensions |
1
|
| gptkbp:fundamentalGroup |
Z
|
| gptkbp:generation |
hermitian operator
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasSubgroup |
gptkb:GL(1,C)
trivial group U(n) |
| https://www.w3.org/2000/01/rdf-schema#label |
U(1)
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:SO(2)
gptkb:circle_group complex numbers of modulus 1 |
| gptkbp:isSimple |
false
|
| gptkbp:notation |
gptkb:U(1)
|
| gptkbp:order |
infinite
|
| gptkbp:parameter |
Angle
|
| gptkbp:realDimension |
1
|
| gptkbp:realForm |
itself
|
| gptkbp:relatedTo |
gptkb:Noether's_theorem
charge conservation electromagnetic gauge symmetry phase symmetry |
| gptkbp:representationTheory |
well understood
|
| gptkbp:symmetry |
electromagnetic field
|
| gptkbp:usedIn |
gptkb:gauge_theory
electromagnetism quantum mechanics |
| gptkbp:bfsParent |
gptkb:Quantum_electrodynamics
|
| gptkbp:bfsLayer |
5
|