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Derivations and Automorphism Groups of Low-Dimensional Associative Algebras

Explicit determination, from an algebra's structure constants, of the derivation algebra Der(A) and automorphism group Aut(A) of finite-dimensional complex associative algebras of dimensions two, three, and four, presented as parametrized matrix families together with their dimensions as classification invariants.

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COMPUTATIONAL APPROACHES TO DERIVATIONS AND AUTOMORPHISM GROUPS OF ASSOCIATIVE ALGEBRAS AHMED

Computes the derivation algebra Der(A) and automorphism group Aut(A) for every finite-dimensional complex associative algebra of dimension two, three, and four, drawing on the known classification li…