Simple completable contractions of nilpotent Lie algebras

Details Simple completable contractions of nilpotent Lie algebras Simple completable contractions of nilpotent Lie algebras

2001-08-22

arxiv.org/abs/math/0108151v1

Mathematics

Rings and Algebras

Latex, 9 pages

Scientific paper

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.

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