Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
gptkb:topology
gptkb:Lie_group |
| gptkbp:defines |
the unique (up to isomorphism) covering group of a connected topological group that is simply connected
|
| gptkbp:example |
the universal covering group of the circle group S^1 is the real line R
the universal covering group of SO(3) is SU(2) |
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:hasSubfield |
gptkb:topology
group theory |
| https://www.w3.org/2000/01/rdf-schema#label |
universal covering group
|
| gptkbp:mapType |
covering map
|
| gptkbp:property |
simply connected
unique up to isomorphism covers the original group via a surjective homomorphism |
| gptkbp:relatedTo |
gptkb:Lie_group
covering space |
| gptkbp:usedIn |
differential geometry
representation theory |
| gptkbp:bfsParent |
gptkb:Lie_group
gptkb:Lie_groups |
| gptkbp:bfsLayer |
5
|