The Variety of Lie algebras of maximal class

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

We present an explicit description of the affine variety of Lie algebras of
the maximal class (filiform Lie algebras): the formulas of polynomial equations
that determine this variety are written. It can considered as the base of the
nilpotent versal deformation of N-graded Lie algebra m_0.

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