Abelian Lie group

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:example gptkb:n-dimensional_torus
gptkb:circle_group
real numbers under addition
gptkbp:hasProperty gptkb:Riemannian_manifold
gptkb:Hausdorff
associativity
identity element
locally compact
inverse element
all elements commute
Lie algebra is Abelian
group operation is commutative
connected Abelian Lie group is isomorphic to product of Euclidean space and torus
https://www.w3.org/2000/01/rdf-schema#label Abelian Lie group
gptkbp:namedAfter gptkb:Niels_Henrik_Abel
gptkbp:studiedIn differential geometry
group theory
gptkbp:subclassOf gptkb:Lie_group
Abelian group
gptkbp:bfsParent gptkb:Groupes_de_Lie
gptkbp:bfsLayer 8