11 citations · 14 across the 4 of their papers we have counts for
5 papers
Direct limits of infinite-dimensional Carnot groups
Terhi Moisala, Enrico Pasqualetto
We give a construction of direct limits in the category of complete metric scalable groups and provide sufficient conditions for the limit to be an infinite-dimensional Carnot grou…
Gradings for nilpotent Lie algebras
Eero Hakavuori, Ville Kivioja, Terhi Moisala +1
We present a constructive approach to torsion-free gradings of Lie algebras. Our main result is the computation of a maximal grading. Given a Lie algebra, using its maximal grading…
Semigenerated step-3 Carnot algebras and applications to sub-Riemannian perimeter
Enrico Le Donne, Terhi Moisala
This paper contributes to the study of sets of finite intrinsic perimeter in Carnot groups. Our intent is to characterize in which groups the only sets with constant intrinsic norm…
A rectifiability result for finite-perimeter sets in Carnot groups
Sebastiano Don, Enrico Le Donne, Terhi Moisala +1
In the setting of Carnot groups, we are concerned with the rectifiability problem for subsets that have finite sub-Riemannian perimeter. We introduce a new notion of rectifiability…
Gâteaux differentiability on infinite-dimensional Carnot groups
Enrico Le Donne, Sean Li, Terhi Moisala
This paper contributes to the generalization of Rademacher's differentiability result for Lipschitz functions when the domain is infinite dimensional and has nonabelian group struc…