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oai:docta.ucm.es:20.500.14352/606752025-02-21T16:36:29Zcom_20.500.14352_14col_20.500.14352_21

Ancochea Bermúdez, José María Gómez Martín, José Ramón 2023-06-20T21:05:40Z 2023-06-20T21:05:40Z 1991 https://hdl.handle.net/20.500.14352/60675 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. metadata only access Sobre el abierto de la variedad de las álgebras de Lie nilpotentes de dimensión 9, formado por las leyes filiformes book part