Non Complete Affine Connections on Filiform Lie Groups
classification
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math.DGmath.RT
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filiformaffineconnectionsgroupsalgebraalgebrascompletedescribe
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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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