Non Complete Affine Connections on Filiform Lie Groups

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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.
6 pages

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Rings and Algebras, Differential Geometry, Representation Theory, 17B30 ; 53B05

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http://salesiana.dossiersoluciones.com/handle/123456789/59558

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0007067
 http://arxiv.org/abs/math/0007067

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arXiv