Almost inner derivations of Lie algebras II

Autor(en)

Dietrich Burde, Karel Dekimpe, Bert Verbeke

Abstrakt

We continue the algebraic study of almost inner derivations of Lie algebras over a field of characteristic zero and determine these derivations for free nilpotent Lie algebras, for almost abelian Lie algebras, for Lie algebras whose solvable radical is abelian and for several classes of filiform nilpotent Lie algebras. We find a family of n-dimensional characteristically nilpotent filiform Lie algebras fn, for all n≥13, all of whose derivations are almost inner. Finally, we compare the almost inner derivations of Lie algebras considered over two different fields K⊇k for a finite-dimensional field extension.

Organisation(en)

Institut für Mathematik

Externe Organisation(en)

Katholieke Universiteit Leuven

Journal

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION

Band

31

Seiten

341-364

Anzahl der Seiten

24

ISSN

0218-1967

DOI

https://doi.org/10.1142/S0218196721500181

Publikationsdatum

2020

Peer-reviewed

Ja

ÖFOS 2012

101001 Algebra

Schlagwörter

ASJC Scopus Sachgebiete

Allgemeine Mathematik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/c20a149b-a02f-4004-856e-d42c94fef6f7