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Filiform Lie algebras of dimension 8 as degenerations

Published 21 Aug 2013 in math.RA | (1308.4580v1)

Abstract: For each complex 8-dimensional filiform Lie algebra we find another non isomorphic Lie algebra that degenerates to it. Since this is already known for nilpotent Lie algebras of rank $\ge 1$, only the caracteristically nilpotent ones should be considered.

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