Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:characterizedBy |
nilpotent Lie algebra
|
| gptkbp:example |
gptkb:Heisenberg_group
|
| gptkbp:property |
exponential map is a diffeomorphism
lower central series terminates at identity connected and simply connected nilpotent Lie groups are classified by their Lie algebras |
| gptkbp:relatedTo |
gptkb:solvable_Lie_groups
|
| gptkbp:studiedIn |
differential geometry
harmonic analysis representation theory |
| gptkbp:subclassOf |
gptkb:Lie_group
|
| gptkbp:usedIn |
mathematical physics
number theory quantum mechanics |
| gptkbp:bfsParent |
gptkb:Lie_groups
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
nilpotent Lie groups
|