%0 Book Section
%T Sobre el abierto de la variedad de las álgebras de Lie nilpotentes de dimensión 9, formado por las leyes filiformes
publisher Universidade de Evora
%D 1991
%@ https://hdl.handle.net/20.500.14352/60675
%X 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.
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