English

Simple completable contractions of nilpotent Lie algebras

Rings and Algebras 2007-05-23 v1

Abstract

We study a certain class of non-maximal rank contractions of the nilpotent Lie algebra gm\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.

Keywords

Cite

@article{arxiv.math/0108151,
  title  = {Simple completable contractions of nilpotent Lie algebras},
  author = {Rutwig Campoamor-Stursberg},
  journal= {arXiv preprint arXiv:math/0108151},
  year   = {2007}
}

Comments

Latex, 9 pages

R2 v1 2026-07-22T16:40:04.899Z