Sur les algèbres de Lie quasi-filiformes complétables [On completable quasi-filiform Lie algebras]

Abstract

The aim of this work is to determine the quasi-filiform Lie algebras that are completable. We further prove that for any positive integer $m$ there exists a complete Lie algebra, the second cohomology group of which has dimension greater or equal than $m$.

13 pages. Text in french