Maximal subalgebras of exceptional Jordan algebras
type: Item
instance of: scholarly article
title: Maximal subalgebras of exceptional Jordan algebras
zbMATH Open document ID: 0358.17018
DOI: 10.1016/0021-8693(77)90391-X
published in: Journal of Algebra
publication date: 1977-01-01T00:00:00Z
review text: The maximal subalgebras of simple finite dimensional exceptional quadratic Jordan algebras are obtained, thereby completing the classification begun in [J. Algebra 30, 155--180 (1974; Zbl 0282.17009)]. The methods used are those of structure theory and the author's classification of point-spaces in exceptional quadratic Jordan algebras (cf. the following review Zbl 0358.17019). The structure of the maximal subalgebras is studied and in particular a 16 dimensional exceptional algebra is exhibited. This is no longer the smallest exceptional algebra known to the author. Using McCrimmon's Peirce \(S\)-identities, one can construct an exceptional algebra of dimension \(12\).
Mathematics Subject Classification ID: 17C40
Mathematics Subject Classification ID: 17C10
Mathematics Subject Classification ID: 17C20
zbMATH DE Number: 3558017
author: Michel L. Racine
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3558017