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Proceedings of the American Mathematical Society

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

 

 

A characterization of $ p$-reductive Lie algebras


Author: Robert Lee Wilson
Journal: Proc. Amer. Math. Soc. 32 (1972), 89-90
MSC: Primary 17B20
MathSciNet review: 0291238
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Abstract: Let $ \mathfrak{L}$ be a finite dimensional restricted Lie algebra over a field of characteristic $ p > 0$. Then $ \mathfrak{L}$ has a completely reducible faithful finite dimensional restricted representation if and only if $ \mathfrak{L}$ has no nonzero nil ideals.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0291238-8
Keywords: Completely reducible restricted representations
Article copyright: © Copyright 1972 American Mathematical Society