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A computational approach to almost-inner derivations

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arxiv 2403.05905 v1 pith:2OPUH3TQ submitted 2024-03-09 math.RA

A computational approach to almost-inner derivations

classification math.RA
keywords derivationsalgebraalmost-innerapproachcomputationalanswersconstantdetermine
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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