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Sur les algèbres de Lie nilpotentes admettant un tore de dérivations

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Summary

We describe the class of complex filiform nilpotent Lie algebras provided with a not trivial external torus of derivations. We prove also that, for dimensions greater than 8, any algebraic irreducible component of the variety of complex nilpotent filiform laws of Lie algebra contains an open set whose elements are characteristically nilpotent laws.

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Authors and Affiliations

  1. F.S.T., Université de Haute Alsace, 32, rue du Grillenbreit, F.68000, Colmar

    Michel Goze & You Hakimjanov

  2. Université de Tachkent, 700095, Tachkent, Ouzbekistan

    Michel Goze & You Hakimjanov

Authors
  1. Michel Goze
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  2. You Hakimjanov
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This article was processed by the author using the Springer-Verlag TEXP Jour1g macro package 1991.

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Goze, M., Hakimjanov, Y. Sur les algèbres de Lie nilpotentes admettant un tore de dérivations. Manuscripta Math 84, 115–124 (1994). https://doi.org/10.1007/BF02567448

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  • DOI: https://doi.org/10.1007/BF02567448

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