The Restricted Ermolaev Algebra and F4

Thomas Purslow

doi:10.1080/10586458.2016.1256005

The Restricted Ermolaev Algebra and F4

Thomas Purslow

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Abstract

We investigate the simple Lie algebra of type F4 over an algebraically closed field of characteristic three. In this article, we show that the first Ermolaev algebra makes an appearance as a maximal subalgebra of F4 and prove this using old results of Kuznetsov, Kostrikin, and Ostrik about graded depth-one simple Lie algebras over fields of characteristic three.

Original language	English
Journal	Experimental Mathematics
Early online date	21 Dec 2016
DOIs	https://doi.org/10.1080/10586458.2016.1256005
Publication status	Published - 2017

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The Restricted Ermolaev Algebra and F4

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