A computational approach to almost-inner derivations

Fuente: arXiv
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Autores principales: Dietrich, Heiko, de Graaf, Willem A.
Formato: Preprint
Publicado: 2024
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author Dietrich, Heiko
de Graaf, Willem A.
author_facet Dietrich, Heiko
de Graaf, Willem A.
contents We present a computational approach to determine the space of almost-inner derivations of a finite dimensional Lie algebra given by a structure constant table. We also present an example of a Lie algebra for which the quotient algebra of the almost-inner derivations modulo the inner derivations is non-abelian. This answers a question of Kunyavskii and Ostapenko.
format Preprint
id arxiv_https___arxiv_org_abs_2403_05905
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A computational approach to almost-inner derivations
Dietrich, Heiko
de Graaf, Willem A.
Rings and Algebras
17B40
We present a computational approach to determine the space of almost-inner derivations of a finite dimensional Lie algebra given by a structure constant table. We also present an example of a Lie algebra for which the quotient algebra of the almost-inner derivations modulo the inner derivations is non-abelian. This answers a question of Kunyavskii and Ostapenko.
title A computational approach to almost-inner derivations
topic Rings and Algebras
17B40
url https://arxiv.org/abs/2403.05905