Filiform Lie Algebras with Low Derived Length

We construct, for any n ≥ 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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Bibliographic Details
Published in:Mediterranean journal of mathematics 2020-12, Vol.17 (6), Article 198
Main Authors: Castro-Jiménez, F. J., Ceballos, M., Núñez-Valdés, J.
Format: Article
Language:English
Subjects:
Algebra
Lie groups
Mathematics
Mathematics and Statistics
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Description
Summary:We construct, for any n ≥ 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.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-020-01642-z