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Proceedings of the American Mathematical Society

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

 

 

The first Whitehead lemma for Malcev algebras


Author: Renate Carlsson
Journal: Proc. Amer. Math. Soc. 58 (1976), 79-84
MSC: Primary 17E05
DOI: https://doi.org/10.1090/S0002-9939-1976-0409585-9
MathSciNet review: 0409585
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Abstract: In the present paper the first Whitehead lemma for separable Malcev algebras is proved, the dimensions being finite and the characteristic of the base field necessarily equal to zero. A consequence is the theorem of Malcev-Harish-Chandra for Malcev algebras. To get the lemma a structure theorem for modules over semisimple split Malcev algebras is proved.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0409585-9
Keywords: Malcev algebras, Malcev modules, derivations, Whitehead's first lemma, theorem of Malcev-Harish-Chandra, Lie algebras
Article copyright: © Copyright 1976 American Mathematical Society