Non Complete Affine Connections on Filiform Lie Groups

Elisabeth Remm (1) , Michel Goze (1)

1 LMIA - Laboratoire de Mathématiques Informatique et Applications [UHA]

We give some examples of non-complete invariant affine connections on nilpotent and filiform Lie groups. This permits to describe non-nilpotent faithful representations on the model of filiform n-dimensional Lie algebras and, in particular, on the 3 dimensional Heisenberg algebra.

Domaines: Anneaux et algèbres [math.RA]; Géométrie différentielle [math.DG]; Théorie des représentations [math.RT]

Elisabeth Remm, Michel Goze. Non Complete Affine Connections on Filiform Lie Groups. 2000. ⟨hal-00122570⟩