The variety of Lie algebras of maximal class

The variety of Lie algebras of maximal class

We present an explicit description of the affine variety M Fil of Lie algebras of maximal class (filiform Lie algebras): the formulas of polynomial equations that determine this variety are written down. The affine variety M Fil can be considered as the base of the nilpotent versal deformation of th...

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Veröffentlicht in:Proceedings of the Steklov Institute of Mathematics 2009-09, Vol.266 (1), p.177-194
1. Verfasser: Millionshchikov, Dmitry V.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We present an explicit description of the affine variety M Fil of Lie algebras of maximal class (filiform Lie algebras): the formulas of polynomial equations that determine this variety are written down. The affine variety M Fil can be considered as the base of the nilpotent versal deformation of the ℕ-graded Lie algebra m 0 .
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543809030109