Open AccessThe Magic Square and Symmetric Compositions
Author(s) -
Alberto Elduque
Publication year - 2004
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/397
Subject(s) - magic square , unital , simple (philosophy) , mathematics , magic (telescope) , square (algebra) , composition (language) , jordan algebra , pure mathematics , combinatorics , algebra over a field , physics , algebra representation , quantum mechanics , philosophy , geometry , epistemology , linguistics
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.
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