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Magic squares and matrix models of Lie algebras

Barton, C.H. and Sudbery, A. (2003) Magic squares and matrix models of Lie algebras. Advances in Mathematics, 180 (2). pp. 596-647. ISSN 0001-8708

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Abstract

This paper is concerned with the description of exceptional simple Lie algebras as octonionic analogues of the classical matrix Lie algebras. We review the Tits–Freudenthal construction of the magic square, which includes the exceptional Lie algebras as the octonionic case of a construction in terms of a Jordan algebra of hermitian 3×3 matrices (Tits) or various plane and other geometries (Freudenthal).

Item Type: Article
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 13 Aug 2009 10:44
Last Modified: 13 Aug 2009 10:44
Published Version: http://dx.doi.org/10.1016/S0001-8708(03)00015-X
Status: Published
Publisher: Elsevier
Identification Number: 10.1016/S0001-8708(03)00015-X
URI: http://eprints.whiterose.ac.uk/id/eprint/5578

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