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Simple completable contractions of nilpotent Lie algebras

Rutwig Campoamor-Stursberg

math.RAarXiv:math/0108151

Abstract

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