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Filiform Lie algebras with low derived length

Author:
Castro-Jiménez, Francisco; Ceballos González, ManuelUniversidad Loyola Authority; Núñez-Valdés, Juan
URI:
https://hdl.handle.net/20.500.12412/6873
ISSN:
1660-5446
DOI:
10.1007/s00009-020-01642-z
Date:
2020
Keyword(s):

Filiform Lie algebra

Derived length

Lie algebra invariants

Abstract:

We construct, for any n ≥ 5, a family of complex fliform 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.

We construct, for any n ≥ 5, a family of complex fliform 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.

 

Es la versión preprint del artículo. Se puede consultar la versión final en https://doi.org/10.1007/s00009-020-01642-z

Es la versión preprint del artículo. Se puede consultar la versión final en https://doi.org/10.1007/s00009-020-01642-z

 
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