The Restricted Ermolaev Algebra and F4

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  • Authors:
  • Thomas Purslow

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.

Bibliographical metadata

Original languageEnglish
JournalExperimental Mathematics
Early online date21 Dec 2016
DOIs
StatePublished - 2017