On derivation algebras of Malcev algebras
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- by Ernest L. Stitzinger PDF
- Proc. Amer. Math. Soc. 62 (1977), 31-33 Request permission
Abstract:
It is shown that if A is a Malcev algebra over a field of characteristic 0, then A is semisimple if and only if the derivation algebra $\mathfrak {D}(A)$ is semisimple. It is then shown that A is semisimple if and only if ${A^\ast } = \mathfrak {L}(A) + \mathfrak {D}(A)$ is semisimple, where $\mathfrak {L}(A)$ is the Lie multiplication algebra of A.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 62 (1977), 31-33
- MSC: Primary 17E05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0424891-0
- MathSciNet review: 0424891