Simple completable contractions of nilpotent Lie algebras

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We study a certain class of non-maximal rank contractions of the nilpotent Lie algebra $\frak{g}_{m}$ and show that these contractions are completable Lie algebras. As a consequence a family of solvable complete Lie algebras of non-maximal rank is given in arbitrary dimension.
Latex, 9 pages

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Rings and Algebras, 17B10, 17B30

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http://salesiana.dossiersoluciones.com/handle/123456789/62062

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108151
 http://arxiv.org/abs/math/0108151

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arXiv