Non Complete Affine Connections on Filiform Lie Groups

Mathematics – Rings and Algebras

Scientific paper

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6 pages

Scientific paper

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.

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