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Filiform Lie Algebras with Low Derived Length

Authors

Castro-Jiménez F.J. , CEBALLOS GONZÁLEZ, MANUEL, Núñez-Valdés J.

External publication

No

Means

Mediterr. J. Math.

Scope

Article

Nature

Científica

JCR Quartile

✗

SJR Quartile

✗

JCR Impact

1.4

SJR Impact

0.696

Web

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85094201741&doi=10.1007%2fs00009-020-01642-z&partnerID=40&md5=25c8c08ef0f653078080ff8306276213

Publication date

28/10/2020

ISI

000582909900001

Scopus Id

2-s2.0-85094201741

DOI

10.1007/s00009-020-01642-z

Abstract

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. © 2020, Springer Nature Switzerland AG.

Keywords

derived length; Filiform Lie algebra; Lie algebra invariants

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