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math.GR2020
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…
math.DG2020
ODE trajectories as abnormal curves in Carnot groups
Eero Hakavuori
We prove that for every polynomial ODE there exists a Carnot group where the trajectories of the ODE lift to abnormal curves. The proof defines an explicit construction to determin…