Exceptional groups and elementary particle structures

L.C. Biedenharn and P. Truini

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 257-270

Abstract: We construct a new finite-dimensional quantum-mechanical space over the complex octonionic plane using the recently-developed algebraic techniques of Jordan pairs and inner ideals. The automorphism group of this structure is E6 × U(1), realized on precisely two irreducible representations (27) and (27∗) of E6 which we abstract as a (topless) model for grand unification.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:257-270

DOI: 10.1016/0378-4371(82)90294-1

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