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

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

2009-01-19

arxiv.org/abs/0901.2831v1

Mathematics

Rings and Algebras

13 pages. Text in french

Scientific paper

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 $m$.

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