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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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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Abstract 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.
AbstractList 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.
ArticleNumber 102312
Author de Graaf, Willem A.
Dietrich, Heiko
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Cites_doi 10.1007/BF01193621
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Keywords Tate-Shafarevich algebra
Almost-inner derivations
Lie algebras
Language English
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Snippet 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....
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SubjectTerms Almost-inner derivations
Lie algebras
Tate-Shafarevich algebra
Title A computational approach to almost-inner derivations
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