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math.RA2001
Affine Structures on abelian Lie Groups
Elisabeth Remm, Michel Goze
The complete affine structures on abelian Lie algebras in small dimensions are well known. In this paper we are interested by the non complete case. In particular we classify all t…
math.RA2001
Non-Existence of Complex Structures on Filiform Lie Algebras
M. Goze, E. Remm
The aim of this work is to prove the nonexistence of complex structures over nilpotent Lie algebras of maximal class (also called filiform).