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Classification of complex filiform nilpotent Lie algebras of dimension 9. (English) Zbl 0790.17004
J. M. Ancochea-Bermudez and M. Goze have classified the complex nilpotent Lie algebras of dimension 7 [Arch. Math. 52, 175-185 (1989; Zbl 0672.17005)] and the filiform Lie algebras of dimension 8 [Arch. Math. 50, 511-525 (1988; Zbl 0641.17006)]. In this paper, the authors list the complex filiform nilpotent Lie algebras of dimension 9 using techniques of Ancochea-Bermudez and Goze.

MSC:
17B30 Solvable, nilpotent (super)algebras
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