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CODES, S-STRUCTURES, AND EXCEPTIONAL LIE ALGEBRAS

Published online by Cambridge University Press:  07 May 2019

ISABEL CUNHA
Affiliation:
Departamento de Matemática e Centro de Matemática e Aplicações da Universidade da Beira Interior, Universidade da Beira Interior, 6201-001 Covilhã, Portugale-mail:[email protected]
ALBERTO ELDUQUE
Affiliation:
Departamento de Matemáticas e Instituto Universitario de Matemáticas y Aplicaciones, Universidad de Zaragoza, 50009 Zaragoza, Spaine-mail:[email protected]

Abstract

The exceptional simple Lie algebras of types E7 and E8 are endowed with optimal $\mathsf{SL}_2^n$ -structures, and are thus described in terms of the corresponding coordinate algebras. These are nonassociative algebras which much resemble the so-called code algebras.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2019

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