The first Whitehead lemma for Malcev algebras

Carlsson, Renate

doi:10.1090/S0002-9939-1976-0409585-9

The first Whitehead lemma for Malcev algebras
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by Renate Carlsson PDF

Proc. Amer. Math. Soc. 58 (1976), 79-84 Request permission

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.

References

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