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Affine structures on nilpotent contact Lie algebras
Elisabeth Remm
In this paper we study some affine structures on nilpotent Lie algebras endowed with a contact form. These affine structures are constructed from an affine structure on a symplecti…
Affine structures on filiform Lie algebras
Elisabeth Remm
In this note we prove that every non characteristically filiform Lie algebra is endowed with an affine structure.
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…
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).