Simple completable contractions of nilpotent Lie algebras
classification
🧮 math.RA
keywords
algebrascontractionscompletablenilpotentnon-maximalrankalgebraarbitrary
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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.
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