Noncomplete Affine Structures on Lie Algebras of Maximal Class

نویسندگان

  • E. REMM
  • MICHEL GOZE
چکیده

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 we give a nonnilpotent faithful linear representation of the 3-dimensional Heisenberg algebra. 2000 Mathematics Subject Classification: 53Cxx, 17Bxx.

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تاریخ انتشار 2002