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Filiform Lie algebras with low derived length

Published 12 Jul 2019 in math.RA and math.RT | (1907.05656v2)

Abstract: We construct, for any integer n greater than or equal to 5, a family of complex filiform Lie algebras with derived length at most 3 and dimension n. We also give examples of n-dimensional filiform Lie algebras with derived length greater than 3.

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