R A ] 2 2 A ug 2 00 1 Simple completable contractions of nilpotent Lie algebras

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. . AMS Math. Subj. Class. 17B10, 17B30. 

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