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Noncomplete affine structures on Lie algebras of maximal class
Every affine structure on Lie algebra 𝔤 defines a representation of 𝔤 in aff( ℝ n ). 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 L n . As …