Publication: Sur les composantes irréductibles de la varieté des lois d'algèbres de Lie nilpotentes
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Publication Date
1996-01-15
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Elsevier Science
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Abstract
In this paper we determine all the components fo the variety of complex nilpotent Lie algebras of dimension 8. The technique is similar to that used for the smaller dimensions. But in this case big difficulties appear resulting from the complexity of the calculus. Thus we have developed a formal calculus for use in computers. The case of the dimension 8 is interesting because it is the first case where many nonfiliform components appear.
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R. Carles. Thèse Université de Poitiers (1984)
M. Goze, J.M. Ancochea-Bermudez. Varieties of complex nilpotent algebras of dimension 7 and 8. J. Pure Appl. Algebra, 77 (1992), pp. 131–140
C. Seeley. Some nilpotent Lie algebras of even dimension Bull. Austral. Math. Soc., 45 (1992), pp. 71–77
G. Valeiras. Sobre las componentes irreducibles de la variedad de leyes de algebra de Lie nilpotentes complejas de dimension 8. Tesis doctoral Universidad de Sevilla (1992) Spain, Mayo
G. Valeiras, M. Goze. Calcul formel sur les algèbres de Lie Pub. I.R.M.A, Strasbourg (1995)