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Exceptional groups and elementary particle structures

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  • Biedenharn, L.C.
  • Truini, P.

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.

Suggested Citation

  • Biedenharn, L.C. & Truini, P., 1982. "Exceptional groups and elementary particle structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 114(1), pages 257-270.
    • Handle: RePEc:eee:phsmap:v:114:y:1982:i:1:p:257-270
    DOI: 10.1016/0378-4371(82)90294-1
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    1. Ferrara, G. & Quario, G., 1977. "Distribution of the Number of Claims in Motor Insurance according to the Lag of Settlement," ASTIN Bulletin, Cambridge University Press, vol. 9(1-2), pages 119-124, January.
    2. Agarwal, Jamuna-Prasad & Spinanger, Dean & Stecher, Bernd, 1978. "The future of the world economy: An appraisal of Leontief's study," Kiel Discussion Papers 54, Kiel Institute for the World Economy (IfW Kiel).
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