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.
Cite this article
Alberto Elduque, The Magic Square and Symmetric Compositions. Rev. Mat. Iberoam. 20 (2004), no. 2, pp. 475–491DOI 10.4171/RMI/397