Sextonians and the magic square
Westbury, Bruce. (2006) Sextonians and the magic square. Journal of the London Mathematical Society, Vol.73 (No.2). pp. 455-474. ISSN 0024-6107
WRAP_Westbury_Sextonions_Magic.pdf - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Official URL: http://dx.doi.org/10.1112/S0024610706022605
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|
|Official Date:||April 2006|
|Page Range:||pp. 455-474|
|Access rights to Published version:||Open Access|
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).
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