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00925njm 22002777a 4500 dc Goze, Michel author Ancochea Bermúdez, José María author 1992-02-28 Let Nn be the variety of n-dimensional complex nilpotent Lie algebras. We know that this algebraic variety is reducible for n≥11 and irreducible for n≤6. In this work we prove that N7 is composed of two algebraic components and that N8 is also reducible 0022-4049 10.1016/0022-4049(92)90080-Y https://hdl.handle.net/20.500.14352/58430 http://0-www.sciencedirect.com.cisne.sim.ucm.es/science/article/pii/002240499290080Y http://www.sciencedirect.com On the varieties of nilpotent Lie algebras of dimension 7 and 8