Noncomplete affine structures on Lie algebras of maximal class

Every affine structure on Lie algebra 𝔤 defines a representation of 𝔤 in aff(ℝn). If 𝔤 is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent. We describe noncomplete affine structures on the filiform Lie algebra Ln. As a consequence w...

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Bibliographic Details
Main Authors: E. Remm, Michel Goze
Format: Article
Published: Hindawi Limited 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
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