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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Standard and alternative algebras with completely reducible derivation algebras


Author: Ernest L. Stitzinger
Journal: Proc. Amer. Math. Soc. 43 (1974), 57-62
MSC: Primary 17D05
DOI: https://doi.org/10.1090/S0002-9939-1974-0332914-X
MathSciNet review: 0332914
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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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DOI: https://doi.org/10.1090/S0002-9939-1974-0332914-X
Article copyright: © Copyright 1974 American Mathematical Society