Standard and alternative algebras with completely reducible derivation algebras

Stitzinger, Ernest L.

doi:10.1090/S0002-9939-1974-0332914-X

Standard and alternative algebras with completely reducible derivation algebras
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by Ernest L. Stitzinger

Proc. Amer. Math. Soc. 43 (1974), 57-62

DOI: https://doi.org/10.1090/S0002-9939-1974-0332914-X

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Abstract:

Let $\mathfrak {A}$ be a finite-dimensional standard or alternative algebra over a field of characteristic 0. A necessary and sufficient condition is found such that the derivation algebra of $\mathfrak {A}$ is completely reducible acting on $\mathfrak {A}$.

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