Lie algebra representations of dimension <𝑝²

Strade, Helmut

doi:10.1090/S0002-9947-1990-0961597-4

Lie algebra representations of dimension $<p^ 2$
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by Helmut Strade

Trans. Amer. Math. Soc. 319 (1990), 689-709

DOI: https://doi.org/10.1090/S0002-9947-1990-0961597-4

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Abstract:

Various methods of representation theory of modular Lie algebras are improved. As an application the structure of the Lie algebras having a faithful irreducible module of dimension $< {p^2}$ is determined. Applications to the classification theory of modular simple Lie algebras are given.

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