Westbury, Bruce (2006) Sextonians and the magic square. Journal of the London Mathematical Society, Vol.73 (No.2). pp. 455-474. doi:10.1112/S0024610706022605

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Abstract

Associated to any complex simple Lie algebra is a non-reductive complex Lie algebra which we call the intermediate Lie algebra. We propose that these algebras can be included in both the magic square and the magic triangle to give an additional row and column. The extra row and column in the magic square correspond to the sextonions. This is a six-dimensional subalgebra of the split octonions which contains the split quaternions.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Lie algebras, Magic squares, Algebra, Abstract
Journal or Publication Title:	Journal of the London Mathematical Society
Publisher:	Cambridge University Press
ISSN:	0024-6107
Official Date:	April 2006
Dates:	Date Event April 2006 Published
Volume:	Vol.73
Number:	No.2
Page Range:	pp. 455-474
DOI:	10.1112/S0024610706022605
Status:	Peer Reviewed
Access rights to Published version:	Open Access

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