A computational approach to almost-inner derivations

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 n...

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Bibliographic Details
Published inJournal of symbolic computation Vol. 125; p. 102312
Main Authors Dietrich, Heiko, de Graaf, Willem A.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.11.2024
Subjects
Almost-inner derivations
Lie algebras
Tate-Shafarevich algebra
Tate-Shafarevich algebra
Almost-inner derivations
Lie algebras
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Summary: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.
ISSN:0747-7171
1095-855X
DOI:10.1016/j.jsc.2024.102312