Non-Existence of Complex Structures on Filiform Lie Algebras

2001/03/31 by M. Goze, E. Remm
Mathematics · #math.RA #math.DG #msc:17Bxx #msc:53Cxx

paper · pdf

published as Comm. in Algebra. Vol 30, (8). 2002 · 13 pages

arxiv created 2003/08/02 · arxiv updated 2009/11/30

Abstract

The aim of this work is to prove the nonexistence of complex structures over nilpotent Lie algebras of maximal class (also called filiform).

Related

• Complex structures on quasi-filiform nilpotent Lie algebras
• Affine structures on filiform Lie algebras
• Degenerations to filiform Lie algebras of dimension 9
• Filiform Lie algebras of dimension 8 as degenerations
• There are no rigid filiform Lie algebras of low dimension