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Sur les composantes irréductibles de la varieté des lois d'algèbres de Lie nilpotentes

1996; Elsevier BV; Volume: 106; Issue: 1 Linguagem: Inglês

10.1016/0022-4049(95)00007-0

1873-1376

JoséMaria Ancochea-Bermudez, JoséRamón Gómez-Martin, Gerardo Valeiras, Michel Goze,

Algebraic structures and combinatorial models

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.