Sur les alg\`ebres de Lie quasi-filiformes compl\'etables [On completable quasi-filiform Lie algebras]

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 $m$.

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Garcia-Vergnolle, L
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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 $m$.
DOI:10.48550/arxiv.0901.2831