A Cornucopia of Carnot Groups in Low Dimensions

Stratified groups are those simply connected Lie groups whose Lie algebras admit a derivation for which the eigenspace with eigenvalue 1 is Lie generating. When a stratified group is equipped with a left-invariant path distance that is homogeneous with respect to the automorphisms induced by the der...

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Bibliographic Details
Main Authors: Le Donne Enrico, Tripaldi Francesca
Format: Article
Language:English
Published: De Gruyter 2022-09-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2022-0138