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Sobre el abierto de la variedad de las álgebras de Lie nilpotentes de dimensión 9, formado por las leyes filiformes

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Ancochea Bermúdez , José María and Gómez Martín, José Ramón (1991) Sobre el abierto de la variedad de las álgebras de Lie nilpotentes de dimensión 9, formado por las leyes filiformes. In XV Jornadas Luso-Espanholas de Matemática : Universidade de Évora, 3 a 7 de Septembro de 1990. Universidade de Evora, Evora, pp. 95-99.



Abstract

In this paper we prove that in N9, the variety of complex nilpotent Lie algebras of dimension 9, there exists a unique irreducible component intersecting the open subset of all filiform Lie algebras of dimension 9. It is also proved that, unlike in dimension 8 [see J. M. Ancochea-Bermudez and M. Goze, Arch. Math. (Basel) 50 (1988), no. 6, 511–525; N9 contains no rigid filiform Lie algebras.


Item Type:Book Section
Subjects:Sciences > Mathematics > Algebra
ID Code:21117
Deposited On:29 Apr 2013 16:20
Last Modified:12 Dec 2018 15:13

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