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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. 455-474. ISSN 0024-6107

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Official URL: http://dx.doi.org/10.1112/S0024610706022605

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

Identification Number:

10.1112/S0024610706022605

Status:

Peer Reviewed

Access rights to Published version:

Open Access

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