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Sextonians and the magic square
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Westbury, Bruce. (2006) Sextonians and the magic square. Journal of the London Mathematical Society, Vol.73 (No.2). pp. 455474. ISSN 00246107

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Official URL: http://dx.doi.org/10.1112/S0024610706022605
Abstract
Associated to any complex simple Lie algebra is a nonreductive 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 sixdimensional 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:  00246107 
Official Date:  April 2006 
Volume:  Vol.73 
Number:  No.2 
Page Range:  pp. 455474 
Identification Number:  10.1112/S0024610706022605 
Status:  Peer Reviewed 
Access rights to Published version:  Open Access 
References:  1. J. F. Adams, Lectures on exceptional Lie groups (ed. Z. Mahmud and M. Mimura), Chicago Lectures in Mathematics (University of Chicago Press, Chicago, IL, 1996). 
URI:  http://wrap.warwick.ac.uk/id/eprint/690 
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