nilpotent Lie groups

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:characterizedBy nilpotent Lie algebra
gptkbp:example gptkb:Heisenberg_group
https://www.w3.org/2000/01/rdf-schema#label nilpotent Lie groups
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 5