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Octonion X-Product Orbits

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Clifford Algebras with Numeric and Symbolic Computations

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Abstract

The octonionic X-product gives to the octonions a flexibility not found in the other real division algebras (reals, complexes, quaternions). The pattern of this flexibility is investigated here.

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References

  • M. Cederwall, C. R. Preitschopf:’ s7 and S7 hep-th-9309030.

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  • G. M. Dixon, Division Algebras: Octonions, Quaternions, Complex umbers, and the Algebraic Design of Physics, Kluwer, 1994.

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  • I. R. Porteous, Topological Geometry, Cambridge UP, 2nd ed., 1981.

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  • J. Schray and C. Manogue: ‘Octonionic representations of Clifford algebras and triality’, hep-th-9407179.

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Author information

Authors and Affiliations

  1. Department of Mathematics or Physics, Brandeis University, Waltham, MA, 02254, USA

    Geoffrey Dixon

  2. Department of Mathematics, University of Massachusetts, Boston, MA, 02125, USA

    Geoffrey Dixon

Authors
  1. Geoffrey Dixon
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Gannon University, Erie, PA, 16541, USA

    Rafał Abłamowicz

  2. Department Física Fonamental, Facultat de Física, Universitat de Barcelona, E-08028, Barcelona, Spain

    Josep M. Parra

  3. Helsinki University of Technology, 02150, Espoo 15, Finland

    Pertti Lounesto

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© 1996 Birkhäuser Boston

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Dixon, G. (1996). Octonion X-Product Orbits. In: Abłamowicz, R., Parra, J.M., Lounesto, P. (eds) Clifford Algebras with Numeric and Symbolic Computations. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4615-8157-4_13

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  • DOI: https://doi.org/10.1007/978-1-4615-8157-4_13

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4615-8159-8

  • Online ISBN: 978-1-4615-8157-4

  • eBook Packages: Springer Book Archive

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