Revista Matemática Iberoamericana

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Volume 20, Issue 2, 2004, pp. 475–491
DOI: 10.4171/RMI/397

Published online: 2004-08-31

The Magic Square and Symmetric Compositions

Alberto Elduque[1]

(1) Universidad de Zaragoza, Spain

The new construction given by Barton and Sudbery of the Freudenthal-Tits magic square, which includes the exceptional classical simple Lie algebras, will be interpreted and extended by using a pair of symmetric composition algebras, instead of the standard unital composition algebras.

Keywords: Freudenthal Tits magic square, symmetric composition algebra, exceptional Lie algebras

Elduque Alberto: The Magic Square and Symmetric Compositions. Rev. Mat. Iberoamericana 20 (2004), 475-491. doi: 10.4171/RMI/397